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Finding the Fourth Proportional to 10,781.90, 16,172.85 and 3,387

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Solution

The fourth proportional to 10,781.90, 16,172.85 and 3,387 is: 5,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.90 : 16,172.85 = 3,387 : x
  2. Step 2: Convert to fraction form
    10,781.90/16,172.85 = 3,387/x
  3. Step 3: Cross multiply
    10,781.90x = 16,172.85 × 3,387
  4. Step 4: Simplify right side
    10,781.90x = 54,777,442.95
  5. Step 5: Solve for x
    x = 54,777,442.95/10,781.90
  6. Step 6: Final answer
    x = 5,080.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.