Hi Kevin,
The whole body of the car is the return path for all accessories to the negative terminal of the battery. Because the fog lamps & front turn indicators are on the bumper bar, both turn & fog lights will have an earth wire going back to the body, which I'm guessing is not grounded at all, or is rusty. When this earth is not present, both lights will try to work at the same time in series, which means each has 6 volts across it, which makes them both dim, & the turn indicators flash at a slow rate, because there is less current flowing through the turn indicators flasher unit.
Do as Jon has suggested, & run a wire from the negative battery terminal to the turn indicators & the fog light earth wires, which could be a white wire. I'm guessing that the where the bumper bar bracket bolts onto the chassis is very rusty also.
Let us know if that fixes it.
Cheers Banjo