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Finding the Fourth Proportional to 8,442.43, 12,644.61 and 4,063.17

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Solution

The fourth proportional to 8,442.43, 12,644.61 and 4,063.17 is: 6,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.43 : 12,644.61 = 4,063.17 : x
  2. Step 2: Convert to fraction form
    8,442.43/12,644.61 = 4,063.17/x
  3. Step 3: Cross multiply
    8,442.43x = 12,644.61 × 4,063.17
  4. Step 4: Simplify right side
    8,442.43x = 51,377,200.01
  5. Step 5: Solve for x
    x = 51,377,200.01/8,442.43
  6. Step 6: Final answer
    x = 6,085.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.