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Finding the Fourth Proportional to 7,737.92, 11,610.12 and 5,563.88

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Solution

The fourth proportional to 7,737.92, 11,610.12 and 5,563.88 is: 8,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.92 : 11,610.12 = 5,563.88 : x
  2. Step 2: Convert to fraction form
    7,737.92/11,610.12 = 5,563.88/x
  3. Step 3: Cross multiply
    7,737.92x = 11,610.12 × 5,563.88
  4. Step 4: Simplify right side
    7,737.92x = 64,597,314.47
  5. Step 5: Solve for x
    x = 64,597,314.47/7,737.92
  6. Step 6: Final answer
    x = 8,348.15

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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.