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Finding the Fourth Proportional to 11,694.05, 17,542.82 and 4,297.94

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Solution

The fourth proportional to 11,694.05, 17,542.82 and 4,297.94 is: 6,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.05 : 17,542.82 = 4,297.94 : x
  2. Step 2: Convert to fraction form
    11,694.05/17,542.82 = 4,297.94/x
  3. Step 3: Cross multiply
    11,694.05x = 17,542.82 × 4,297.94
  4. Step 4: Simplify right side
    11,694.05x = 75,397,897.05
  5. Step 5: Solve for x
    x = 75,397,897.05/11,694.05
  6. Step 6: Final answer
    x = 6,447.54

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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.