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Finding the Fourth Proportional to 8,109.89, 12,163.78 and 2,563.79

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Solution

The fourth proportional to 8,109.89, 12,163.78 and 2,563.79 is: 3,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.89 : 12,163.78 = 2,563.79 : x
  2. Step 2: Convert to fraction form
    8,109.89/12,163.78 = 2,563.79/x
  3. Step 3: Cross multiply
    8,109.89x = 12,163.78 × 2,563.79
  4. Step 4: Simplify right side
    8,109.89x = 31,185,377.53
  5. Step 5: Solve for x
    x = 31,185,377.53/8,109.89
  6. Step 6: Final answer
    x = 3,845.35

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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.