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Finding the Fourth Proportional to 8,371.92, 12,560.19 and 3,695.66

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Solution

The fourth proportional to 8,371.92, 12,560.19 and 3,695.66 is: 5,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.92 : 12,560.19 = 3,695.66 : x
  2. Step 2: Convert to fraction form
    8,371.92/12,560.19 = 3,695.66/x
  3. Step 3: Cross multiply
    8,371.92x = 12,560.19 × 3,695.66
  4. Step 4: Simplify right side
    8,371.92x = 46,418,128.97
  5. Step 5: Solve for x
    x = 46,418,128.97/8,371.92
  6. Step 6: Final answer
    x = 5,544.50

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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.