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Finding the Fourth Proportional to 8,044.90, 12,067.35 and 6,829.90

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Solution

The fourth proportional to 8,044.90, 12,067.35 and 6,829.90 is: 10,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.90 : 12,067.35 = 6,829.90 : x
  2. Step 2: Convert to fraction form
    8,044.90/12,067.35 = 6,829.90/x
  3. Step 3: Cross multiply
    8,044.90x = 12,067.35 × 6,829.90
  4. Step 4: Simplify right side
    8,044.90x = 82,418,793.77
  5. Step 5: Solve for x
    x = 82,418,793.77/8,044.90
  6. Step 6: Final answer
    x = 10,244.85

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