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Finding the Fourth Proportional to 11,463.52, 17,194.56 and 4,067

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Solution

The fourth proportional to 11,463.52, 17,194.56 and 4,067 is: 6,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.52 : 17,194.56 = 4,067 : x
  2. Step 2: Convert to fraction form
    11,463.52/17,194.56 = 4,067/x
  3. Step 3: Cross multiply
    11,463.52x = 17,194.56 × 4,067
  4. Step 4: Simplify right side
    11,463.52x = 69,930,275.52
  5. Step 5: Solve for x
    x = 69,930,275.52/11,463.52
  6. Step 6: Final answer
    x = 6,100.25

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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.