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Finding the Fourth Proportional to 8,171.38, 11,282.85 and 6,279.97

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Solution

The fourth proportional to 8,171.38, 11,282.85 and 6,279.97 is: 8,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.38 : 11,282.85 = 6,279.97 : x
  2. Step 2: Convert to fraction form
    8,171.38/11,282.85 = 6,279.97/x
  3. Step 3: Cross multiply
    8,171.38x = 11,282.85 × 6,279.97
  4. Step 4: Simplify right side
    8,171.38x = 70,855,959.51
  5. Step 5: Solve for x
    x = 70,855,959.51/8,171.38
  6. Step 6: Final answer
    x = 8,671.24

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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.