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Finding the Fourth Proportional to 8,049.72, 12,061.40 and 7,742.16

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Solution

The fourth proportional to 8,049.72, 12,061.40 and 7,742.16 is: 11,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.72 : 12,061.40 = 7,742.16 : x
  2. Step 2: Convert to fraction form
    8,049.72/12,061.40 = 7,742.16/x
  3. Step 3: Cross multiply
    8,049.72x = 12,061.40 × 7,742.16
  4. Step 4: Simplify right side
    8,049.72x = 93,381,288.62
  5. Step 5: Solve for x
    x = 93,381,288.62/8,049.72
  6. Step 6: Final answer
    x = 11,600.56

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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.