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Finding the Fourth Proportional to 8,270.48, 11,344.90 and 8,097.68

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Solution

The fourth proportional to 8,270.48, 11,344.90 and 8,097.68 is: 11,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.48 : 11,344.90 = 8,097.68 : x
  2. Step 2: Convert to fraction form
    8,270.48/11,344.90 = 8,097.68/x
  3. Step 3: Cross multiply
    8,270.48x = 11,344.90 × 8,097.68
  4. Step 4: Simplify right side
    8,270.48x = 91,867,369.83
  5. Step 5: Solve for x
    x = 91,867,369.83/8,270.48
  6. Step 6: Final answer
    x = 11,107.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.