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Finding the Fourth Proportional to 8,131.24, 12,198 and 2,584

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Solution

The fourth proportional to 8,131.24, 12,198 and 2,584 is: 3,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.24 : 12,198 = 2,584 : x
  2. Step 2: Convert to fraction form
    8,131.24/12,198 = 2,584/x
  3. Step 3: Cross multiply
    8,131.24x = 12,198 × 2,584
  4. Step 4: Simplify right side
    8,131.24x = 31,519,632
  5. Step 5: Solve for x
    x = 31,519,632/8,131.24
  6. Step 6: Final answer
    x = 3,876.36

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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.