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Finding the Fourth Proportional to 12,163.68, 16,781.52 and 6,858.57

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Solution

The fourth proportional to 12,163.68, 16,781.52 and 6,858.57 is: 9,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.68 : 16,781.52 = 6,858.57 : x
  2. Step 2: Convert to fraction form
    12,163.68/16,781.52 = 6,858.57/x
  3. Step 3: Cross multiply
    12,163.68x = 16,781.52 × 6,858.57
  4. Step 4: Simplify right side
    12,163.68x = 115,097,229.63
  5. Step 5: Solve for x
    x = 115,097,229.63/12,163.68
  6. Step 6: Final answer
    x = 9,462.37

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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.