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Finding the Fourth Proportional to 8,049.56, 12,074.70 and 2,206.76

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Solution

The fourth proportional to 8,049.56, 12,074.70 and 2,206.76 is: 3,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.56 : 12,074.70 = 2,206.76 : x
  2. Step 2: Convert to fraction form
    8,049.56/12,074.70 = 2,206.76/x
  3. Step 3: Cross multiply
    8,049.56x = 12,074.70 × 2,206.76
  4. Step 4: Simplify right side
    8,049.56x = 26,645,964.97
  5. Step 5: Solve for x
    x = 26,645,964.97/8,049.56
  6. Step 6: Final answer
    x = 3,310.24

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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.