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Finding the Fourth Proportional to 11,976.62, 17,965.13 and 3,971.42

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Solution

The fourth proportional to 11,976.62, 17,965.13 and 3,971.42 is: 5,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.62 : 17,965.13 = 3,971.42 : x
  2. Step 2: Convert to fraction form
    11,976.62/17,965.13 = 3,971.42/x
  3. Step 3: Cross multiply
    11,976.62x = 17,965.13 × 3,971.42
  4. Step 4: Simplify right side
    11,976.62x = 71,347,034.27
  5. Step 5: Solve for x
    x = 71,347,034.27/11,976.62
  6. Step 6: Final answer
    x = 5,957.20

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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.