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Finding the Fourth Proportional to 11,723.87, 16,178.94 and 6,418.68

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Solution

The fourth proportional to 11,723.87, 16,178.94 and 6,418.68 is: 8,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.87 : 16,178.94 = 6,418.68 : x
  2. Step 2: Convert to fraction form
    11,723.87/16,178.94 = 6,418.68/x
  3. Step 3: Cross multiply
    11,723.87x = 16,178.94 × 6,418.68
  4. Step 4: Simplify right side
    11,723.87x = 103,847,438.60
  5. Step 5: Solve for x
    x = 103,847,438.60/11,723.87
  6. Step 6: Final answer
    x = 8,857.78

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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.