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Finding the Fourth Proportional to 11,399.26, 17,067.40 and 5,840.64

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Solution

The fourth proportional to 11,399.26, 17,067.40 and 5,840.64 is: 8,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.26 : 17,067.40 = 5,840.64 : x
  2. Step 2: Convert to fraction form
    11,399.26/17,067.40 = 5,840.64/x
  3. Step 3: Cross multiply
    11,399.26x = 17,067.40 × 5,840.64
  4. Step 4: Simplify right side
    11,399.26x = 99,684,453.80
  5. Step 5: Solve for x
    x = 99,684,453.80/11,399.26
  6. Step 6: Final answer
    x = 8,744.82

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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.