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Finding the Fourth Proportional to 10,772.43, 16,143.90 and 8,137.78

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Solution

The fourth proportional to 10,772.43, 16,143.90 and 8,137.78 is: 12,195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.43 : 16,143.90 = 8,137.78 : x
  2. Step 2: Convert to fraction form
    10,772.43/16,143.90 = 8,137.78/x
  3. Step 3: Cross multiply
    10,772.43x = 16,143.90 × 8,137.78
  4. Step 4: Simplify right side
    10,772.43x = 131,375,473.09
  5. Step 5: Solve for x
    x = 131,375,473.09/10,772.43
  6. Step 6: Final answer
    x = 12,195.53

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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.