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Finding the Fourth Proportional to 8,384.09, 12,576.17 and 2,540.75

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Solution

The fourth proportional to 8,384.09, 12,576.17 and 2,540.75 is: 3,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.09 : 12,576.17 = 2,540.75 : x
  2. Step 2: Convert to fraction form
    8,384.09/12,576.17 = 2,540.75/x
  3. Step 3: Cross multiply
    8,384.09x = 12,576.17 × 2,540.75
  4. Step 4: Simplify right side
    8,384.09x = 31,952,903.93
  5. Step 5: Solve for x
    x = 31,952,903.93/8,384.09
  6. Step 6: Final answer
    x = 3,811.14

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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.