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Finding the Fourth Proportional to 8,144.68, 11,239.33 and 4,608.62

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Solution

The fourth proportional to 8,144.68, 11,239.33 and 4,608.62 is: 6,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.68 : 11,239.33 = 4,608.62 : x
  2. Step 2: Convert to fraction form
    8,144.68/11,239.33 = 4,608.62/x
  3. Step 3: Cross multiply
    8,144.68x = 11,239.33 × 4,608.62
  4. Step 4: Simplify right side
    8,144.68x = 51,797,801.02
  5. Step 5: Solve for x
    x = 51,797,801.02/8,144.68
  6. Step 6: Final answer
    x = 6,359.71

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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.