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Finding the Fourth Proportional to 8,122.92, 11,204.48 and 6,231.63

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Solution

The fourth proportional to 8,122.92, 11,204.48 and 6,231.63 is: 8,595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.92 : 11,204.48 = 6,231.63 : x
  2. Step 2: Convert to fraction form
    8,122.92/11,204.48 = 6,231.63/x
  3. Step 3: Cross multiply
    8,122.92x = 11,204.48 × 6,231.63
  4. Step 4: Simplify right side
    8,122.92x = 69,822,142.54
  5. Step 5: Solve for x
    x = 69,822,142.54/8,122.92
  6. Step 6: Final answer
    x = 8,595.69

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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.