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Finding the Fourth Proportional to 11,761.76, 16,218.59 and 8,896.97

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Solution

The fourth proportional to 11,761.76, 16,218.59 and 8,896.97 is: 12,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.76 : 16,218.59 = 8,896.97 : x
  2. Step 2: Convert to fraction form
    11,761.76/16,218.59 = 8,896.97/x
  3. Step 3: Cross multiply
    11,761.76x = 16,218.59 × 8,896.97
  4. Step 4: Simplify right side
    11,761.76x = 144,296,183.09
  5. Step 5: Solve for x
    x = 144,296,183.09/11,761.76
  6. Step 6: Final answer
    x = 12,268.25

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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.