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Finding the Fourth Proportional to 10,872.28, 16,310.74 and 3,375.68

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Solution

The fourth proportional to 10,872.28, 16,310.74 and 3,375.68 is: 5,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.28 : 16,310.74 = 3,375.68 : x
  2. Step 2: Convert to fraction form
    10,872.28/16,310.74 = 3,375.68/x
  3. Step 3: Cross multiply
    10,872.28x = 16,310.74 × 3,375.68
  4. Step 4: Simplify right side
    10,872.28x = 55,059,838.80
  5. Step 5: Solve for x
    x = 55,059,838.80/10,872.28
  6. Step 6: Final answer
    x = 5,064.24

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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.