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Finding the Fourth Proportional to 8,241.28, 11,372.88 and 5,097.76

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Solution

The fourth proportional to 8,241.28, 11,372.88 and 5,097.76 is: 7,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.28 : 11,372.88 = 5,097.76 : x
  2. Step 2: Convert to fraction form
    8,241.28/11,372.88 = 5,097.76/x
  3. Step 3: Cross multiply
    8,241.28x = 11,372.88 × 5,097.76
  4. Step 4: Simplify right side
    8,241.28x = 57,976,212.75
  5. Step 5: Solve for x
    x = 57,976,212.75/8,241.28
  6. Step 6: Final answer
    x = 7,034.86

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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.