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Finding the Fourth Proportional to 8,468.34, 11,686.29 and 4,691.52

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Solution

The fourth proportional to 8,468.34, 11,686.29 and 4,691.52 is: 6,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.34 : 11,686.29 = 4,691.52 : x
  2. Step 2: Convert to fraction form
    8,468.34/11,686.29 = 4,691.52/x
  3. Step 3: Cross multiply
    8,468.34x = 11,686.29 × 4,691.52
  4. Step 4: Simplify right side
    8,468.34x = 54,826,419.44
  5. Step 5: Solve for x
    x = 54,826,419.44/8,468.34
  6. Step 6: Final answer
    x = 6,474.28

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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.