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Finding the Fourth Proportional to 10,102.62, 15,125.99 and 5,161.62

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Solution

The fourth proportional to 10,102.62, 15,125.99 and 5,161.62 is: 7,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.62 : 15,125.99 = 5,161.62 : x
  2. Step 2: Convert to fraction form
    10,102.62/15,125.99 = 5,161.62/x
  3. Step 3: Cross multiply
    10,102.62x = 15,125.99 × 5,161.62
  4. Step 4: Simplify right side
    10,102.62x = 78,074,586.70
  5. Step 5: Solve for x
    x = 78,074,586.70/10,102.62
  6. Step 6: Final answer
    x = 7,728.15

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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.