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Finding the Fourth Proportional to 12,163.25, 16,783.85 and 6,857.75

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Solution

The fourth proportional to 12,163.25, 16,783.85 and 6,857.75 is: 9,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.25 : 16,783.85 = 6,857.75 : x
  2. Step 2: Convert to fraction form
    12,163.25/16,783.85 = 6,857.75/x
  3. Step 3: Cross multiply
    12,163.25x = 16,783.85 × 6,857.75
  4. Step 4: Simplify right side
    12,163.25x = 115,099,380.56
  5. Step 5: Solve for x
    x = 115,099,380.56/12,163.25
  6. Step 6: Final answer
    x = 9,462.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.