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Finding the Fourth Proportional to 11,464.10, 17,197.97 and 4,067.48

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Solution

The fourth proportional to 11,464.10, 17,197.97 and 4,067.48 is: 6,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.10 : 17,197.97 = 4,067.48 : x
  2. Step 2: Convert to fraction form
    11,464.10/17,197.97 = 4,067.48/x
  3. Step 3: Cross multiply
    11,464.10x = 17,197.97 × 4,067.48
  4. Step 4: Simplify right side
    11,464.10x = 69,952,399.02
  5. Step 5: Solve for x
    x = 69,952,399.02/11,464.10
  6. Step 6: Final answer
    x = 6,101.87

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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.