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Finding the Fourth Proportional to 8,371.80, 12,557.70 and 2,527.65

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Solution

The fourth proportional to 8,371.80, 12,557.70 and 2,527.65 is: 3,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.80 : 12,557.70 = 2,527.65 : x
  2. Step 2: Convert to fraction form
    8,371.80/12,557.70 = 2,527.65/x
  3. Step 3: Cross multiply
    8,371.80x = 12,557.70 × 2,527.65
  4. Step 4: Simplify right side
    8,371.80x = 31,741,470.41
  5. Step 5: Solve for x
    x = 31,741,470.41/8,371.80
  6. Step 6: Final answer
    x = 3,791.48

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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.