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Finding the Fourth Proportional to 10,213.92, 15,306.48 and 8,124.66

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Solution

The fourth proportional to 10,213.92, 15,306.48 and 8,124.66 is: 12,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.92 : 15,306.48 = 8,124.66 : x
  2. Step 2: Convert to fraction form
    10,213.92/15,306.48 = 8,124.66/x
  3. Step 3: Cross multiply
    10,213.92x = 15,306.48 × 8,124.66
  4. Step 4: Simplify right side
    10,213.92x = 124,359,945.80
  5. Step 5: Solve for x
    x = 124,359,945.80/10,213.92
  6. Step 6: Final answer
    x = 12,175.54

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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.