It is obvious from your reference to mingw10.dll and .exe that you are on Windows. Fortunately for us, Qt has made the solution to your problem somewhat simple for us.

Follow these steps:
1) create a desktop shortcut and name it as you will.
2) right click on the shortcut and select Properties
3) in the shortcut tab of Properties edit the Target value to read "%COMSPEC% /k "C:\Qt\2009.03\bin\qtenv.bat" or where ever your Qt SDK install is located.
4) edit the Start In value to be your project folder
5) double click the shortcut to open the command window.
6) cd to where your exe is located - release or debug
7) type the entire name of your exe file (e.g. ./myapp.exe)

This procedure will set up the Qt environment and allow you to run your exe without substantial changes or copying files. Subtile variations from the normal Qt environment can be accommodated by copying the qtenv.bat file somewhere and editing it to fit your needs. The run your edited batch file.