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Finding the Fourth Proportional to 11,277.57, 15,568.22 and 8,049.86

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Solution

The fourth proportional to 11,277.57, 15,568.22 and 8,049.86 is: 11,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.57 : 15,568.22 = 8,049.86 : x
  2. Step 2: Convert to fraction form
    11,277.57/15,568.22 = 8,049.86/x
  3. Step 3: Cross multiply
    11,277.57x = 15,568.22 × 8,049.86
  4. Step 4: Simplify right side
    11,277.57x = 125,321,873.36
  5. Step 5: Solve for x
    x = 125,321,873.36/11,277.57
  6. Step 6: Final answer
    x = 11,112.49

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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.