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Finding the Fourth Proportional to 11,208.25, 15,471.62 and 8,811.97

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Solution

The fourth proportional to 11,208.25, 15,471.62 and 8,811.97 is: 12,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,208.25 : 15,471.62 = 8,811.97 : x
  2. Step 2: Convert to fraction form
    11,208.25/15,471.62 = 8,811.97/x
  3. Step 3: Cross multiply
    11,208.25x = 15,471.62 × 8,811.97
  4. Step 4: Simplify right side
    11,208.25x = 136,335,451.29
  5. Step 5: Solve for x
    x = 136,335,451.29/11,208.25
  6. Step 6: Final answer
    x = 12,163.85

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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.