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Finding the Fourth Proportional to 11,723.22, 16,178.09 and 6,418.12

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Solution

The fourth proportional to 11,723.22, 16,178.09 and 6,418.12 is: 8,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.22 : 16,178.09 = 6,418.12 : x
  2. Step 2: Convert to fraction form
    11,723.22/16,178.09 = 6,418.12/x
  3. Step 3: Cross multiply
    11,723.22x = 16,178.09 × 6,418.12
  4. Step 4: Simplify right side
    11,723.22x = 103,832,922.99
  5. Step 5: Solve for x
    x = 103,832,922.99/11,723.22
  6. Step 6: Final answer
    x = 8,857.03

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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.