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Finding the Fourth Proportional to 8,737.24, 12,057.17 and 5,011

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Solution

The fourth proportional to 8,737.24, 12,057.17 and 5,011 is: 6,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.24 : 12,057.17 = 5,011 : x
  2. Step 2: Convert to fraction form
    8,737.24/12,057.17 = 5,011/x
  3. Step 3: Cross multiply
    8,737.24x = 12,057.17 × 5,011
  4. Step 4: Simplify right side
    8,737.24x = 60,418,478.87
  5. Step 5: Solve for x
    x = 60,418,478.87/8,737.24
  6. Step 6: Final answer
    x = 6,915.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.