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Finding the Fourth Proportional to 8,137.38, 11,229.59 and 4,411.38

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Solution

The fourth proportional to 8,137.38, 11,229.59 and 4,411.38 is: 6,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.38 : 11,229.59 = 4,411.38 : x
  2. Step 2: Convert to fraction form
    8,137.38/11,229.59 = 4,411.38/x
  3. Step 3: Cross multiply
    8,137.38x = 11,229.59 × 4,411.38
  4. Step 4: Simplify right side
    8,137.38x = 49,537,988.73
  5. Step 5: Solve for x
    x = 49,537,988.73/8,137.38
  6. Step 6: Final answer
    x = 6,087.71

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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.