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Finding the Fourth Proportional to 8,042.76, 12,069.84 and 3,660.78

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Solution

The fourth proportional to 8,042.76, 12,069.84 and 3,660.78 is: 5,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.76 : 12,069.84 = 3,660.78 : x
  2. Step 2: Convert to fraction form
    8,042.76/12,069.84 = 3,660.78/x
  3. Step 3: Cross multiply
    8,042.76x = 12,069.84 × 3,660.78
  4. Step 4: Simplify right side
    8,042.76x = 44,185,028.88
  5. Step 5: Solve for x
    x = 44,185,028.88/8,042.76
  6. Step 6: Final answer
    x = 5,493.76

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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.