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Finding the Fourth Proportional to 11,694.46, 17,544.42 and 7,998.43

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Solution

The fourth proportional to 11,694.46, 17,544.42 and 7,998.43 is: 11,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.46 : 17,544.42 = 7,998.43 : x
  2. Step 2: Convert to fraction form
    11,694.46/17,544.42 = 7,998.43/x
  3. Step 3: Cross multiply
    11,694.46x = 17,544.42 × 7,998.43
  4. Step 4: Simplify right side
    11,694.46x = 140,327,771.40
  5. Step 5: Solve for x
    x = 140,327,771.40/11,694.46
  6. Step 6: Final answer
    x = 11,999.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.