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Finding the Fourth Proportional to 8,517.46, 11,754.38 and 5,329.74

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Solution

The fourth proportional to 8,517.46, 11,754.38 and 5,329.74 is: 7,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.46 : 11,754.38 = 5,329.74 : x
  2. Step 2: Convert to fraction form
    8,517.46/11,754.38 = 5,329.74/x
  3. Step 3: Cross multiply
    8,517.46x = 11,754.38 × 5,329.74
  4. Step 4: Simplify right side
    8,517.46x = 62,647,789.26
  5. Step 5: Solve for x
    x = 62,647,789.26/8,517.46
  6. Step 6: Final answer
    x = 7,355.22

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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.