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Finding the Fourth Proportional to 8,143.38, 12,217.41 and 2,597.18

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Solution

The fourth proportional to 8,143.38, 12,217.41 and 2,597.18 is: 3,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.38 : 12,217.41 = 2,597.18 : x
  2. Step 2: Convert to fraction form
    8,143.38/12,217.41 = 2,597.18/x
  3. Step 3: Cross multiply
    8,143.38x = 12,217.41 × 2,597.18
  4. Step 4: Simplify right side
    8,143.38x = 31,730,751.82
  5. Step 5: Solve for x
    x = 31,730,751.82/8,143.38
  6. Step 6: Final answer
    x = 3,896.51

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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.