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Finding the Fourth Proportional to 10,737.53, 16,102.34 and 3,715.74

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Solution

The fourth proportional to 10,737.53, 16,102.34 and 3,715.74 is: 5,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.53 : 16,102.34 = 3,715.74 : x
  2. Step 2: Convert to fraction form
    10,737.53/16,102.34 = 3,715.74/x
  3. Step 3: Cross multiply
    10,737.53x = 16,102.34 × 3,715.74
  4. Step 4: Simplify right side
    10,737.53x = 59,832,125.09
  5. Step 5: Solve for x
    x = 59,832,125.09/10,737.53
  6. Step 6: Final answer
    x = 5,572.24

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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.