You either build a debug version of your application or you build a release version of your application (you can switch between them in the lower left corner in QtCreator, right above the 'Run' button). A debug version of your application is used during development, as it contains additional code and information which allow for better error tracking. When deploying an application, you should always use a release version, as this additional information is of no use to the user, slows down and enlarges your applcation and possibly exposes internal implementation details.
A debug version of your application needs a debug version of the Qt libraries (having a d in their name, for example QtGuid4.dll) and a release version of your application needs a release version of the Qt libraries (having no d in their name, for example QtGui4.dll).
In addition of beeing tied to the application version, libraries are also tied to toolchain used to build the application. If you build your application using MSVC2008, you will have to use libraries beeing built with MSVC20008 as well, if you build your application using MSVC2010, you will have to use libraries beeing built MSVC2010, and so on.
These libraries can be found in the corresponding Qt installation directory, which is usually <where you have installed the SDK>/Desktop/<version>/<toolchain>.
So if you build a debug version of your application using MSVC2010 and Qt 4.8.2 you will have to pick the *d4.dll libraries from E:\Programs\QtSDK\Desktop\4.8.2\MSVC2010 (or similiar, I have no Qt SDK installation at hand) and place it in one of the locations I've posted - usually the directory containing the .exe file.
Make sure you've read the article I've linked.