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Finding the Fourth Proportional to 11,989.80, 16,540.74 and 8,257.32

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Solution

The fourth proportional to 11,989.80, 16,540.74 and 8,257.32 is: 11,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.80 : 16,540.74 = 8,257.32 : x
  2. Step 2: Convert to fraction form
    11,989.80/16,540.74 = 8,257.32/x
  3. Step 3: Cross multiply
    11,989.80x = 16,540.74 × 8,257.32
  4. Step 4: Simplify right side
    11,989.80x = 136,582,183.22
  5. Step 5: Solve for x
    x = 136,582,183.22/11,989.80
  6. Step 6: Final answer
    x = 11,391.53

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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.