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Finding the Fourth Proportional to 8,508.38, 11,741.81 and 5,151.80

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Solution

The fourth proportional to 8,508.38, 11,741.81 and 5,151.80 is: 7,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.38 : 11,741.81 = 5,151.80 : x
  2. Step 2: Convert to fraction form
    8,508.38/11,741.81 = 5,151.80/x
  3. Step 3: Cross multiply
    8,508.38x = 11,741.81 × 5,151.80
  4. Step 4: Simplify right side
    8,508.38x = 60,491,456.76
  5. Step 5: Solve for x
    x = 60,491,456.76/8,508.38
  6. Step 6: Final answer
    x = 7,109.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.