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Finding the Fourth Proportional to 8,112.74, 12,170.45 and 2,564.78

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Solution

The fourth proportional to 8,112.74, 12,170.45 and 2,564.78 is: 3,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.74 : 12,170.45 = 2,564.78 : x
  2. Step 2: Convert to fraction form
    8,112.74/12,170.45 = 2,564.78/x
  3. Step 3: Cross multiply
    8,112.74x = 12,170.45 × 2,564.78
  4. Step 4: Simplify right side
    8,112.74x = 31,214,472.31
  5. Step 5: Solve for x
    x = 31,214,472.31/8,112.74
  6. Step 6: Final answer
    x = 3,847.59

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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.