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Finding the Fourth Proportional to 7,872.20, 11,794.67 and 5,527.76

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Solution

The fourth proportional to 7,872.20, 11,794.67 and 5,527.76 is: 8,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.20 : 11,794.67 = 5,527.76 : x
  2. Step 2: Convert to fraction form
    7,872.20/11,794.67 = 5,527.76/x
  3. Step 3: Cross multiply
    7,872.20x = 11,794.67 × 5,527.76
  4. Step 4: Simplify right side
    7,872.20x = 65,198,105.04
  5. Step 5: Solve for x
    x = 65,198,105.04/7,872.20
  6. Step 6: Final answer
    x = 8,282.07

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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.