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Finding the Fourth Proportional to 11,761.20, 16,230.84 and 6,723.60

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Solution

The fourth proportional to 11,761.20, 16,230.84 and 6,723.60 is: 9,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.20 : 16,230.84 = 6,723.60 : x
  2. Step 2: Convert to fraction form
    11,761.20/16,230.84 = 6,723.60/x
  3. Step 3: Cross multiply
    11,761.20x = 16,230.84 × 6,723.60
  4. Step 4: Simplify right side
    11,761.20x = 109,129,675.82
  5. Step 5: Solve for x
    x = 109,129,675.82/11,761.20
  6. Step 6: Final answer
    x = 9,278.79

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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.