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Finding the Fourth Proportional to 11,096.42, 15,291.86 and 7,947.14

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Solution

The fourth proportional to 11,096.42, 15,291.86 and 7,947.14 is: 10,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.42 : 15,291.86 = 7,947.14 : x
  2. Step 2: Convert to fraction form
    11,096.42/15,291.86 = 7,947.14/x
  3. Step 3: Cross multiply
    11,096.42x = 15,291.86 × 7,947.14
  4. Step 4: Simplify right side
    11,096.42x = 121,526,436.09
  5. Step 5: Solve for x
    x = 121,526,436.09/11,096.42
  6. Step 6: Final answer
    x = 10,951.86

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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.