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Finding the Fourth Proportional to 8,074.72, 12,112.31 and 2,231.33

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Solution

The fourth proportional to 8,074.72, 12,112.31 and 2,231.33 is: 3,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.72 : 12,112.31 = 2,231.33 : x
  2. Step 2: Convert to fraction form
    8,074.72/12,112.31 = 2,231.33/x
  3. Step 3: Cross multiply
    8,074.72x = 12,112.31 × 2,231.33
  4. Step 4: Simplify right side
    8,074.72x = 27,026,560.67
  5. Step 5: Solve for x
    x = 27,026,560.67/8,074.72
  6. Step 6: Final answer
    x = 3,347.06

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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.