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Finding the Fourth Proportional to 8,110.92, 12,171.90 and 2,917.32

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Solution

The fourth proportional to 8,110.92, 12,171.90 and 2,917.32 is: 4,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.92 : 12,171.90 = 2,917.32 : x
  2. Step 2: Convert to fraction form
    8,110.92/12,171.90 = 2,917.32/x
  3. Step 3: Cross multiply
    8,110.92x = 12,171.90 × 2,917.32
  4. Step 4: Simplify right side
    8,110.92x = 35,509,327.31
  5. Step 5: Solve for x
    x = 35,509,327.31/8,110.92
  6. Step 6: Final answer
    x = 4,377.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.