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Finding the Fourth Proportional to 7,231.74, 10,841.13 and 2,613.66

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Solution

The fourth proportional to 7,231.74, 10,841.13 and 2,613.66 is: 3,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.74 : 10,841.13 = 2,613.66 : x
  2. Step 2: Convert to fraction form
    7,231.74/10,841.13 = 2,613.66/x
  3. Step 3: Cross multiply
    7,231.74x = 10,841.13 × 2,613.66
  4. Step 4: Simplify right side
    7,231.74x = 28,335,027.84
  5. Step 5: Solve for x
    x = 28,335,027.84/7,231.74
  6. Step 6: Final answer
    x = 3,918.15

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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.