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Finding the Fourth Proportional to 11,634, 17,456.60 and 5,791.12

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Solution

The fourth proportional to 11,634, 17,456.60 and 5,791.12 is: 8,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634 : 17,456.60 = 5,791.12 : x
  2. Step 2: Convert to fraction form
    11,634/17,456.60 = 5,791.12/x
  3. Step 3: Cross multiply
    11,634x = 17,456.60 × 5,791.12
  4. Step 4: Simplify right side
    11,634x = 101,093,265.39
  5. Step 5: Solve for x
    x = 101,093,265.39/11,634
  6. Step 6: Final answer
    x = 8,689.47

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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.