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Finding the Fourth Proportional to 11,912.31, 16,439.06 and 6,876.73

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Solution

The fourth proportional to 11,912.31, 16,439.06 and 6,876.73 is: 9,489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.31 : 16,439.06 = 6,876.73 : x
  2. Step 2: Convert to fraction form
    11,912.31/16,439.06 = 6,876.73/x
  3. Step 3: Cross multiply
    11,912.31x = 16,439.06 × 6,876.73
  4. Step 4: Simplify right side
    11,912.31x = 113,046,977.07
  5. Step 5: Solve for x
    x = 113,046,977.07/11,912.31
  6. Step 6: Final answer
    x = 9,489.93

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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.