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Finding the Fourth Proportional to 11,737.72, 17,591.94 and 5,167

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Solution

The fourth proportional to 11,737.72, 17,591.94 and 5,167 is: 7,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.72 : 17,591.94 = 5,167 : x
  2. Step 2: Convert to fraction form
    11,737.72/17,591.94 = 5,167/x
  3. Step 3: Cross multiply
    11,737.72x = 17,591.94 × 5,167
  4. Step 4: Simplify right side
    11,737.72x = 90,897,553.98
  5. Step 5: Solve for x
    x = 90,897,553.98/11,737.72
  6. Step 6: Final answer
    x = 7,744.06

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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.