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Finding the Fourth Proportional to 11,397.71, 17,086.16 and 3,998.14

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Solution

The fourth proportional to 11,397.71, 17,086.16 and 3,998.14 is: 5,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.71 : 17,086.16 = 3,998.14 : x
  2. Step 2: Convert to fraction form
    11,397.71/17,086.16 = 3,998.14/x
  3. Step 3: Cross multiply
    11,397.71x = 17,086.16 × 3,998.14
  4. Step 4: Simplify right side
    11,397.71x = 68,312,859.74
  5. Step 5: Solve for x
    x = 68,312,859.74/11,397.71
  6. Step 6: Final answer
    x = 5,993.56

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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.