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Finding the Fourth Proportional to 8,067.67, 12,096.80 and 3,131.54

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Solution

The fourth proportional to 8,067.67, 12,096.80 and 3,131.54 is: 4,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.67 : 12,096.80 = 3,131.54 : x
  2. Step 2: Convert to fraction form
    8,067.67/12,096.80 = 3,131.54/x
  3. Step 3: Cross multiply
    8,067.67x = 12,096.80 × 3,131.54
  4. Step 4: Simplify right side
    8,067.67x = 37,881,599.91
  5. Step 5: Solve for x
    x = 37,881,599.91/8,067.67
  6. Step 6: Final answer
    x = 4,695.48

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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.