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Finding the Fourth Proportional to 8,384.38, 12,576.80 and 2,540.97

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Solution

The fourth proportional to 8,384.38, 12,576.80 and 2,540.97 is: 3,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.38 : 12,576.80 = 2,540.97 : x
  2. Step 2: Convert to fraction form
    8,384.38/12,576.80 = 2,540.97/x
  3. Step 3: Cross multiply
    8,384.38x = 12,576.80 × 2,540.97
  4. Step 4: Simplify right side
    8,384.38x = 31,957,277.85
  5. Step 5: Solve for x
    x = 31,957,277.85/8,384.38
  6. Step 6: Final answer
    x = 3,811.53

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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.