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Finding the Fourth Proportional to 11,272.60, 15,546.76 and 8,446.65

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Solution

The fourth proportional to 11,272.60, 15,546.76 and 8,446.65 is: 11,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.60 : 15,546.76 = 8,446.65 : x
  2. Step 2: Convert to fraction form
    11,272.60/15,546.76 = 8,446.65/x
  3. Step 3: Cross multiply
    11,272.60x = 15,546.76 × 8,446.65
  4. Step 4: Simplify right side
    11,272.60x = 131,318,040.35
  5. Step 5: Solve for x
    x = 131,318,040.35/11,272.60
  6. Step 6: Final answer
    x = 11,649.31

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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.