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Finding the Fourth Proportional to 10,588.52, 15,882.24 and 3,192.80

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Solution

The fourth proportional to 10,588.52, 15,882.24 and 3,192.80 is: 4,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.52 : 15,882.24 = 3,192.80 : x
  2. Step 2: Convert to fraction form
    10,588.52/15,882.24 = 3,192.80/x
  3. Step 3: Cross multiply
    10,588.52x = 15,882.24 × 3,192.80
  4. Step 4: Simplify right side
    10,588.52x = 50,708,815.87
  5. Step 5: Solve for x
    x = 50,708,815.87/10,588.52
  6. Step 6: Final answer
    x = 4,789.04

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