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Finding the Fourth Proportional to 11,027.82, 15,218.42 and 5,992

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Solution

The fourth proportional to 11,027.82, 15,218.42 and 5,992 is: 8,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.82 : 15,218.42 = 5,992 : x
  2. Step 2: Convert to fraction form
    11,027.82/15,218.42 = 5,992/x
  3. Step 3: Cross multiply
    11,027.82x = 15,218.42 × 5,992
  4. Step 4: Simplify right side
    11,027.82x = 91,188,772.64
  5. Step 5: Solve for x
    x = 91,188,772.64/11,027.82
  6. Step 6: Final answer
    x = 8,268.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.