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Finding the Fourth Proportional to 8,149.69, 12,215.31 and 5,618.59

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Solution

The fourth proportional to 8,149.69, 12,215.31 and 5,618.59 is: 8,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.69 : 12,215.31 = 5,618.59 : x
  2. Step 2: Convert to fraction form
    8,149.69/12,215.31 = 5,618.59/x
  3. Step 3: Cross multiply
    8,149.69x = 12,215.31 × 5,618.59
  4. Step 4: Simplify right side
    8,149.69x = 68,632,757.54
  5. Step 5: Solve for x
    x = 68,632,757.54/8,149.69
  6. Step 6: Final answer
    x = 8,421.52

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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.