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Finding the Fourth Proportional to 11,912.88, 16,439.76 and 7,196.28

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Solution

The fourth proportional to 11,912.88, 16,439.76 and 7,196.28 is: 9,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.88 : 16,439.76 = 7,196.28 : x
  2. Step 2: Convert to fraction form
    11,912.88/16,439.76 = 7,196.28/x
  3. Step 3: Cross multiply
    11,912.88x = 16,439.76 × 7,196.28
  4. Step 4: Simplify right side
    11,912.88x = 118,305,116.09
  5. Step 5: Solve for x
    x = 118,305,116.09/11,912.88
  6. Step 6: Final answer
    x = 9,930.86

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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.