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Finding the Fourth Proportional to 10,777.68, 16,134.92 and 6,321.60

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Solution

The fourth proportional to 10,777.68, 16,134.92 and 6,321.60 is: 9,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.68 : 16,134.92 = 6,321.60 : x
  2. Step 2: Convert to fraction form
    10,777.68/16,134.92 = 6,321.60/x
  3. Step 3: Cross multiply
    10,777.68x = 16,134.92 × 6,321.60
  4. Step 4: Simplify right side
    10,777.68x = 101,998,510.27
  5. Step 5: Solve for x
    x = 101,998,510.27/10,777.68
  6. Step 6: Final answer
    x = 9,463.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.