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Finding the Fourth Proportional to 8,194.97, 12,292.50 and 3,265.85

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Solution

The fourth proportional to 8,194.97, 12,292.50 and 3,265.85 is: 4,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.97 : 12,292.50 = 3,265.85 : x
  2. Step 2: Convert to fraction form
    8,194.97/12,292.50 = 3,265.85/x
  3. Step 3: Cross multiply
    8,194.97x = 12,292.50 × 3,265.85
  4. Step 4: Simplify right side
    8,194.97x = 40,145,399.66
  5. Step 5: Solve for x
    x = 40,145,399.66/8,194.97
  6. Step 6: Final answer
    x = 4,898.79

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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.