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Finding the Fourth Proportional to 8,044.50, 12,067.14 and 3,659.16

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Solution

The fourth proportional to 8,044.50, 12,067.14 and 3,659.16 is: 5,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.50 : 12,067.14 = 3,659.16 : x
  2. Step 2: Convert to fraction form
    8,044.50/12,067.14 = 3,659.16/x
  3. Step 3: Cross multiply
    8,044.50x = 12,067.14 × 3,659.16
  4. Step 4: Simplify right side
    8,044.50x = 44,155,596.00
  5. Step 5: Solve for x
    x = 44,155,596.00/8,044.50
  6. Step 6: Final answer
    x = 5,488.92

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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.