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Finding the Fourth Proportional to 11,791.09, 16,252.81 and 8,949.21

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Solution

The fourth proportional to 11,791.09, 16,252.81 and 8,949.21 is: 12,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.09 : 16,252.81 = 8,949.21 : x
  2. Step 2: Convert to fraction form
    11,791.09/16,252.81 = 8,949.21/x
  3. Step 3: Cross multiply
    11,791.09x = 16,252.81 × 8,949.21
  4. Step 4: Simplify right side
    11,791.09x = 145,449,809.78
  5. Step 5: Solve for x
    x = 145,449,809.78/11,791.09
  6. Step 6: Final answer
    x = 12,335.57

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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.