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Finding the Fourth Proportional to 8,215.76, 12,324.68 and 3,217.49

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Solution

The fourth proportional to 8,215.76, 12,324.68 and 3,217.49 is: 4,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.76 : 12,324.68 = 3,217.49 : x
  2. Step 2: Convert to fraction form
    8,215.76/12,324.68 = 3,217.49/x
  3. Step 3: Cross multiply
    8,215.76x = 12,324.68 × 3,217.49
  4. Step 4: Simplify right side
    8,215.76x = 39,654,549.38
  5. Step 5: Solve for x
    x = 39,654,549.38/8,215.76
  6. Step 6: Final answer
    x = 4,826.64

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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.