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Finding the Fourth Proportional to 11,755.24, 16,221.36 and 6,449.20

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Solution

The fourth proportional to 11,755.24, 16,221.36 and 6,449.20 is: 8,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.24 : 16,221.36 = 6,449.20 : x
  2. Step 2: Convert to fraction form
    11,755.24/16,221.36 = 6,449.20/x
  3. Step 3: Cross multiply
    11,755.24x = 16,221.36 × 6,449.20
  4. Step 4: Simplify right side
    11,755.24x = 104,614,794.91
  5. Step 5: Solve for x
    x = 104,614,794.91/11,755.24
  6. Step 6: Final answer
    x = 8,899.42

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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.