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Finding the Fourth Proportional to 8,251.42, 12,377 and 2,011.44

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Solution

The fourth proportional to 8,251.42, 12,377 and 2,011.44 is: 3,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.42 : 12,377 = 2,011.44 : x
  2. Step 2: Convert to fraction form
    8,251.42/12,377 = 2,011.44/x
  3. Step 3: Cross multiply
    8,251.42x = 12,377 × 2,011.44
  4. Step 4: Simplify right side
    8,251.42x = 24,895,592.88
  5. Step 5: Solve for x
    x = 24,895,592.88/8,251.42
  6. Step 6: Final answer
    x = 3,017.13

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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.