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Finding the Fourth Proportional to 7,613.16, 11,414.04 and 3,227.80

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Solution

The fourth proportional to 7,613.16, 11,414.04 and 3,227.80 is: 4,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.16 : 11,414.04 = 3,227.80 : x
  2. Step 2: Convert to fraction form
    7,613.16/11,414.04 = 3,227.80/x
  3. Step 3: Cross multiply
    7,613.16x = 11,414.04 × 3,227.80
  4. Step 4: Simplify right side
    7,613.16x = 36,842,238.31
  5. Step 5: Solve for x
    x = 36,842,238.31/7,613.16
  6. Step 6: Final answer
    x = 4,839.28

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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.