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Finding the Fourth Proportional to 12,163.42, 16,787.10 and 6,859.90

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Solution

The fourth proportional to 12,163.42, 16,787.10 and 6,859.90 is: 9,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.42 : 16,787.10 = 6,859.90 : x
  2. Step 2: Convert to fraction form
    12,163.42/16,787.10 = 6,859.90/x
  3. Step 3: Cross multiply
    12,163.42x = 16,787.10 × 6,859.90
  4. Step 4: Simplify right side
    12,163.42x = 115,157,827.29
  5. Step 5: Solve for x
    x = 115,157,827.29/12,163.42
  6. Step 6: Final answer
    x = 9,467.55

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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.