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Finding the Fourth Proportional to 10,229.43, 14,114.02 and 7,841.79

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Solution

The fourth proportional to 10,229.43, 14,114.02 and 7,841.79 is: 10,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.43 : 14,114.02 = 7,841.79 : x
  2. Step 2: Convert to fraction form
    10,229.43/14,114.02 = 7,841.79/x
  3. Step 3: Cross multiply
    10,229.43x = 14,114.02 × 7,841.79
  4. Step 4: Simplify right side
    10,229.43x = 110,679,180.90
  5. Step 5: Solve for x
    x = 110,679,180.90/10,229.43
  6. Step 6: Final answer
    x = 10,819.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.