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Finding the Fourth Proportional to 8,067.98, 12,097.27 and 3,131.85

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Solution

The fourth proportional to 8,067.98, 12,097.27 and 3,131.85 is: 4,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.98 : 12,097.27 = 3,131.85 : x
  2. Step 2: Convert to fraction form
    8,067.98/12,097.27 = 3,131.85/x
  3. Step 3: Cross multiply
    8,067.98x = 12,097.27 × 3,131.85
  4. Step 4: Simplify right side
    8,067.98x = 37,886,835.05
  5. Step 5: Solve for x
    x = 37,886,835.05/8,067.98
  6. Step 6: Final answer
    x = 4,695.95

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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.