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Finding the Fourth Proportional to 8,414.54, 12,613.76 and 3,148.11

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Solution

The fourth proportional to 8,414.54, 12,613.76 and 3,148.11 is: 4,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.54 : 12,613.76 = 3,148.11 : x
  2. Step 2: Convert to fraction form
    8,414.54/12,613.76 = 3,148.11/x
  3. Step 3: Cross multiply
    8,414.54x = 12,613.76 × 3,148.11
  4. Step 4: Simplify right side
    8,414.54x = 39,709,488.25
  5. Step 5: Solve for x
    x = 39,709,488.25/8,414.54
  6. Step 6: Final answer
    x = 4,719.15

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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.