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Finding the Fourth Proportional to 11,777.31, 16,236.96 and 10,091.49

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Solution

The fourth proportional to 11,777.31, 16,236.96 and 10,091.49 is: 13,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.31 : 16,236.96 = 10,091.49 : x
  2. Step 2: Convert to fraction form
    11,777.31/16,236.96 = 10,091.49/x
  3. Step 3: Cross multiply
    11,777.31x = 16,236.96 × 10,091.49
  4. Step 4: Simplify right side
    11,777.31x = 163,855,119.47
  5. Step 5: Solve for x
    x = 163,855,119.47/11,777.31
  6. Step 6: Final answer
    x = 13,912.78

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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.