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Finding the Fourth Proportional to 10,153.68, 15,229.97 and 3,227.64

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Solution

The fourth proportional to 10,153.68, 15,229.97 and 3,227.64 is: 4,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.68 : 15,229.97 = 3,227.64 : x
  2. Step 2: Convert to fraction form
    10,153.68/15,229.97 = 3,227.64/x
  3. Step 3: Cross multiply
    10,153.68x = 15,229.97 × 3,227.64
  4. Step 4: Simplify right side
    10,153.68x = 49,156,860.37
  5. Step 5: Solve for x
    x = 49,156,860.37/10,153.68
  6. Step 6: Final answer
    x = 4,841.29

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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.