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Finding the Fourth Proportional to 8,108.70, 12,164.56 and 2,563.44

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Solution

The fourth proportional to 8,108.70, 12,164.56 and 2,563.44 is: 3,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.70 : 12,164.56 = 2,563.44 : x
  2. Step 2: Convert to fraction form
    8,108.70/12,164.56 = 2,563.44/x
  3. Step 3: Cross multiply
    8,108.70x = 12,164.56 × 2,563.44
  4. Step 4: Simplify right side
    8,108.70x = 31,183,119.69
  5. Step 5: Solve for x
    x = 31,183,119.69/8,108.70
  6. Step 6: Final answer
    x = 3,845.64

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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.