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Finding the Fourth Proportional to 8,049.32, 12,069.52 and 2,781.49

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Solution

The fourth proportional to 8,049.32, 12,069.52 and 2,781.49 is: 4,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.32 : 12,069.52 = 2,781.49 : x
  2. Step 2: Convert to fraction form
    8,049.32/12,069.52 = 2,781.49/x
  3. Step 3: Cross multiply
    8,049.32x = 12,069.52 × 2,781.49
  4. Step 4: Simplify right side
    8,049.32x = 33,571,249.18
  5. Step 5: Solve for x
    x = 33,571,249.18/8,049.32
  6. Step 6: Final answer
    x = 4,170.69

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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.