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Finding the Fourth Proportional to 7,785.64, 11,678.46 and 3,887.92

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Solution

The fourth proportional to 7,785.64, 11,678.46 and 3,887.92 is: 5,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.64 : 11,678.46 = 3,887.92 : x
  2. Step 2: Convert to fraction form
    7,785.64/11,678.46 = 3,887.92/x
  3. Step 3: Cross multiply
    7,785.64x = 11,678.46 × 3,887.92
  4. Step 4: Simplify right side
    7,785.64x = 45,404,918.20
  5. Step 5: Solve for x
    x = 45,404,918.20/7,785.64
  6. Step 6: Final answer
    x = 5,831.88

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