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Finding the Fourth Proportional to 8,109.92, 12,164.96 and 2,265.84

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Solution

The fourth proportional to 8,109.92, 12,164.96 and 2,265.84 is: 3,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.92 : 12,164.96 = 2,265.84 : x
  2. Step 2: Convert to fraction form
    8,109.92/12,164.96 = 2,265.84/x
  3. Step 3: Cross multiply
    8,109.92x = 12,164.96 × 2,265.84
  4. Step 4: Simplify right side
    8,109.92x = 27,563,852.97
  5. Step 5: Solve for x
    x = 27,563,852.97/8,109.92
  6. Step 6: Final answer
    x = 3,398.78

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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.