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Finding the Fourth Proportional to 8,499.56, 12,687.20 and 7,874.24

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Solution

The fourth proportional to 8,499.56, 12,687.20 and 7,874.24 is: 11,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.56 : 12,687.20 = 7,874.24 : x
  2. Step 2: Convert to fraction form
    8,499.56/12,687.20 = 7,874.24/x
  3. Step 3: Cross multiply
    8,499.56x = 12,687.20 × 7,874.24
  4. Step 4: Simplify right side
    8,499.56x = 99,902,057.73
  5. Step 5: Solve for x
    x = 99,902,057.73/8,499.56
  6. Step 6: Final answer
    x = 11,753.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.