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Finding the Fourth Proportional to 10,234.57, 15,351.80 and 8,843.68

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Solution

The fourth proportional to 10,234.57, 15,351.80 and 8,843.68 is: 13,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.57 : 15,351.80 = 8,843.68 : x
  2. Step 2: Convert to fraction form
    10,234.57/15,351.80 = 8,843.68/x
  3. Step 3: Cross multiply
    10,234.57x = 15,351.80 × 8,843.68
  4. Step 4: Simplify right side
    10,234.57x = 135,766,329.87
  5. Step 5: Solve for x
    x = 135,766,329.87/10,234.57
  6. Step 6: Final answer
    x = 13,265.46

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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.