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Finding the Fourth Proportional to 8,468.62, 11,686.29 and 4,691.53

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Solution

The fourth proportional to 8,468.62, 11,686.29 and 4,691.53 is: 6,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.62 : 11,686.29 = 4,691.53 : x
  2. Step 2: Convert to fraction form
    8,468.62/11,686.29 = 4,691.53/x
  3. Step 3: Cross multiply
    8,468.62x = 11,686.29 × 4,691.53
  4. Step 4: Simplify right side
    8,468.62x = 54,826,580.12
  5. Step 5: Solve for x
    x = 54,826,580.12/8,468.62
  6. Step 6: Final answer
    x = 6,474.09

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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.