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Finding the Fourth Proportional to 8,468.20, 11,691.82 and 5,286.34

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Solution

The fourth proportional to 8,468.20, 11,691.82 and 5,286.34 is: 7,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.20 : 11,691.82 = 5,286.34 : x
  2. Step 2: Convert to fraction form
    8,468.20/11,691.82 = 5,286.34/x
  3. Step 3: Cross multiply
    8,468.20x = 11,691.82 × 5,286.34
  4. Step 4: Simplify right side
    8,468.20x = 61,806,935.74
  5. Step 5: Solve for x
    x = 61,806,935.74/8,468.20
  6. Step 6: Final answer
    x = 7,298.71

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