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Finding the Fourth Proportional to 8,122.46, 12,184.13 and 2,576.25

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Solution

The fourth proportional to 8,122.46, 12,184.13 and 2,576.25 is: 3,864.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.46 : 12,184.13 = 2,576.25 : x
  2. Step 2: Convert to fraction form
    8,122.46/12,184.13 = 2,576.25/x
  3. Step 3: Cross multiply
    8,122.46x = 12,184.13 × 2,576.25
  4. Step 4: Simplify right side
    8,122.46x = 31,389,371.35
  5. Step 5: Solve for x
    x = 31,389,371.35/8,122.46
  6. Step 6: Final answer
    x = 3,864.52

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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.