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Finding the Fourth Proportional to 8,261.97, 12,383.23 and 5,296.56

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Solution

The fourth proportional to 8,261.97, 12,383.23 and 5,296.56 is: 7,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.97 : 12,383.23 = 5,296.56 : x
  2. Step 2: Convert to fraction form
    8,261.97/12,383.23 = 5,296.56/x
  3. Step 3: Cross multiply
    8,261.97x = 12,383.23 × 5,296.56
  4. Step 4: Simplify right side
    8,261.97x = 65,588,470.94
  5. Step 5: Solve for x
    x = 65,588,470.94/8,261.97
  6. Step 6: Final answer
    x = 7,938.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.