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Finding the Fourth Proportional to 8,042.76, 12,065.22 and 2,496.96

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Solution

The fourth proportional to 8,042.76, 12,065.22 and 2,496.96 is: 3,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.76 : 12,065.22 = 2,496.96 : x
  2. Step 2: Convert to fraction form
    8,042.76/12,065.22 = 2,496.96/x
  3. Step 3: Cross multiply
    8,042.76x = 12,065.22 × 2,496.96
  4. Step 4: Simplify right side
    8,042.76x = 30,126,371.73
  5. Step 5: Solve for x
    x = 30,126,371.73/8,042.76
  6. Step 6: Final answer
    x = 3,745.78

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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.