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Finding the Fourth Proportional to 8,489.87, 11,711.42 and 5,133.77

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Solution

The fourth proportional to 8,489.87, 11,711.42 and 5,133.77 is: 7,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.87 : 11,711.42 = 5,133.77 : x
  2. Step 2: Convert to fraction form
    8,489.87/11,711.42 = 5,133.77/x
  3. Step 3: Cross multiply
    8,489.87x = 11,711.42 × 5,133.77
  4. Step 4: Simplify right side
    8,489.87x = 60,123,736.65
  5. Step 5: Solve for x
    x = 60,123,736.65/8,489.87
  6. Step 6: Final answer
    x = 7,081.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.