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Finding the Fourth Proportional to 8,112.39, 12,169.78 and 2,564.48

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Solution

The fourth proportional to 8,112.39, 12,169.78 and 2,564.48 is: 3,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.39 : 12,169.78 = 2,564.48 : x
  2. Step 2: Convert to fraction form
    8,112.39/12,169.78 = 2,564.48/x
  3. Step 3: Cross multiply
    8,112.39x = 12,169.78 × 2,564.48
  4. Step 4: Simplify right side
    8,112.39x = 31,209,090.15
  5. Step 5: Solve for x
    x = 31,209,090.15/8,112.39
  6. Step 6: Final answer
    x = 3,847.09

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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.