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Finding the Fourth Proportional to 11,694.71, 17,544.80 and 7,998.68

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Solution

The fourth proportional to 11,694.71, 17,544.80 and 7,998.68 is: 11,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.71 : 17,544.80 = 7,998.68 : x
  2. Step 2: Convert to fraction form
    11,694.71/17,544.80 = 7,998.68/x
  3. Step 3: Cross multiply
    11,694.71x = 17,544.80 × 7,998.68
  4. Step 4: Simplify right side
    11,694.71x = 140,335,113.15
  5. Step 5: Solve for x
    x = 140,335,113.15/11,694.71
  6. Step 6: Final answer
    x = 11,999.88

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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.