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Finding the Fourth Proportional to 8,339.42, 11,508.31 and 4,562.66

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Solution

The fourth proportional to 8,339.42, 11,508.31 and 4,562.66 is: 6,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.42 : 11,508.31 = 4,562.66 : x
  2. Step 2: Convert to fraction form
    8,339.42/11,508.31 = 4,562.66/x
  3. Step 3: Cross multiply
    8,339.42x = 11,508.31 × 4,562.66
  4. Step 4: Simplify right side
    8,339.42x = 52,508,505.70
  5. Step 5: Solve for x
    x = 52,508,505.70/8,339.42
  6. Step 6: Final answer
    x = 6,296.42

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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.