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Finding the Fourth Proportional to 11,656.75, 17,472.41 and 5,737.71

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Solution

The fourth proportional to 11,656.75, 17,472.41 and 5,737.71 is: 8,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.75 : 17,472.41 = 5,737.71 : x
  2. Step 2: Convert to fraction form
    11,656.75/17,472.41 = 5,737.71/x
  3. Step 3: Cross multiply
    11,656.75x = 17,472.41 × 5,737.71
  4. Step 4: Simplify right side
    11,656.75x = 100,251,592.89
  5. Step 5: Solve for x
    x = 100,251,592.89/11,656.75
  6. Step 6: Final answer
    x = 8,600.30

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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.