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Finding the Fourth Proportional to 11,644.14, 16,069.17 and 6,338.96

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Solution

The fourth proportional to 11,644.14, 16,069.17 and 6,338.96 is: 8,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.14 : 16,069.17 = 6,338.96 : x
  2. Step 2: Convert to fraction form
    11,644.14/16,069.17 = 6,338.96/x
  3. Step 3: Cross multiply
    11,644.14x = 16,069.17 × 6,338.96
  4. Step 4: Simplify right side
    11,644.14x = 101,861,793.89
  5. Step 5: Solve for x
    x = 101,861,793.89/11,644.14
  6. Step 6: Final answer
    x = 8,747.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.