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Finding the Fourth Proportional to 8,206.38, 11,330.24 and 6,314.62

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Solution

The fourth proportional to 8,206.38, 11,330.24 and 6,314.62 is: 8,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.38 : 11,330.24 = 6,314.62 : x
  2. Step 2: Convert to fraction form
    8,206.38/11,330.24 = 6,314.62/x
  3. Step 3: Cross multiply
    8,206.38x = 11,330.24 × 6,314.62
  4. Step 4: Simplify right side
    8,206.38x = 71,546,160.11
  5. Step 5: Solve for x
    x = 71,546,160.11/8,206.38
  6. Step 6: Final answer
    x = 8,718.36

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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.