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Finding the Fourth Proportional to 8,580.92, 11,839.03 and 5,743.79

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Solution

The fourth proportional to 8,580.92, 11,839.03 and 5,743.79 is: 7,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.92 : 11,839.03 = 5,743.79 : x
  2. Step 2: Convert to fraction form
    8,580.92/11,839.03 = 5,743.79/x
  3. Step 3: Cross multiply
    8,580.92x = 11,839.03 × 5,743.79
  4. Step 4: Simplify right side
    8,580.92x = 68,000,872.97
  5. Step 5: Solve for x
    x = 68,000,872.97/8,580.92
  6. Step 6: Final answer
    x = 7,924.66

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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.