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Finding the Fourth Proportional to 8,428.38, 12,642.66 and 3,747.30

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Solution

The fourth proportional to 8,428.38, 12,642.66 and 3,747.30 is: 5,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.38 : 12,642.66 = 3,747.30 : x
  2. Step 2: Convert to fraction form
    8,428.38/12,642.66 = 3,747.30/x
  3. Step 3: Cross multiply
    8,428.38x = 12,642.66 × 3,747.30
  4. Step 4: Simplify right side
    8,428.38x = 47,375,839.82
  5. Step 5: Solve for x
    x = 47,375,839.82/8,428.38
  6. Step 6: Final answer
    x = 5,620.99

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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.