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Finding the Fourth Proportional to 10,499.76, 15,725.84 and 8,140.86

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Solution

The fourth proportional to 10,499.76, 15,725.84 and 8,140.86 is: 12,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.76 : 15,725.84 = 8,140.86 : x
  2. Step 2: Convert to fraction form
    10,499.76/15,725.84 = 8,140.86/x
  3. Step 3: Cross multiply
    10,499.76x = 15,725.84 × 8,140.86
  4. Step 4: Simplify right side
    10,499.76x = 128,021,821.12
  5. Step 5: Solve for x
    x = 128,021,821.12/10,499.76
  6. Step 6: Final answer
    x = 12,192.83

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