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Finding the Fourth Proportional to 11,832.12, 17,759.11 and 5,992.83

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Solution

The fourth proportional to 11,832.12, 17,759.11 and 5,992.83 is: 8,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.12 : 17,759.11 = 5,992.83 : x
  2. Step 2: Convert to fraction form
    11,832.12/17,759.11 = 5,992.83/x
  3. Step 3: Cross multiply
    11,832.12x = 17,759.11 × 5,992.83
  4. Step 4: Simplify right side
    11,832.12x = 106,427,327.18
  5. Step 5: Solve for x
    x = 106,427,327.18/11,832.12
  6. Step 6: Final answer
    x = 8,994.78

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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.