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Finding the Fourth Proportional to 11,463.64, 17,194.75 and 4,067.12

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Solution

The fourth proportional to 11,463.64, 17,194.75 and 4,067.12 is: 6,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.64 : 17,194.75 = 4,067.12 : x
  2. Step 2: Convert to fraction form
    11,463.64/17,194.75 = 4,067.12/x
  3. Step 3: Cross multiply
    11,463.64x = 17,194.75 × 4,067.12
  4. Step 4: Simplify right side
    11,463.64x = 69,933,144.44
  5. Step 5: Solve for x
    x = 69,933,144.44/11,463.64
  6. Step 6: Final answer
    x = 6,100.43

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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.