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Finding the Fourth Proportional to 10,311.53, 15,467.27 and 3,737.70

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Solution

The fourth proportional to 10,311.53, 15,467.27 and 3,737.70 is: 5,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.53 : 15,467.27 = 3,737.70 : x
  2. Step 2: Convert to fraction form
    10,311.53/15,467.27 = 3,737.70/x
  3. Step 3: Cross multiply
    10,311.53x = 15,467.27 × 3,737.70
  4. Step 4: Simplify right side
    10,311.53x = 57,812,024.42
  5. Step 5: Solve for x
    x = 57,812,024.42/10,311.53
  6. Step 6: Final answer
    x = 5,606.54

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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.