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Finding the Fourth Proportional to 8,122.47, 12,184.14 and 2,576.24

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Solution

The fourth proportional to 8,122.47, 12,184.14 and 2,576.24 is: 3,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.47 : 12,184.14 = 2,576.24 : x
  2. Step 2: Convert to fraction form
    8,122.47/12,184.14 = 2,576.24/x
  3. Step 3: Cross multiply
    8,122.47x = 12,184.14 × 2,576.24
  4. Step 4: Simplify right side
    8,122.47x = 31,389,207.91
  5. Step 5: Solve for x
    x = 31,389,207.91/8,122.47
  6. Step 6: Final answer
    x = 3,864.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.