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Finding the Fourth Proportional to 8,144.52, 12,217.74 and 2,595.92

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Solution

The fourth proportional to 8,144.52, 12,217.74 and 2,595.92 is: 3,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.52 : 12,217.74 = 2,595.92 : x
  2. Step 2: Convert to fraction form
    8,144.52/12,217.74 = 2,595.92/x
  3. Step 3: Cross multiply
    8,144.52x = 12,217.74 × 2,595.92
  4. Step 4: Simplify right side
    8,144.52x = 31,716,204.80
  5. Step 5: Solve for x
    x = 31,716,204.80/8,144.52
  6. Step 6: Final answer
    x = 3,894.18

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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.