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Finding the Fourth Proportional to 11,716.57, 16,168.82 and 6,338.99

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Solution

The fourth proportional to 11,716.57, 16,168.82 and 6,338.99 is: 8,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.57 : 16,168.82 = 6,338.99 : x
  2. Step 2: Convert to fraction form
    11,716.57/16,168.82 = 6,338.99/x
  3. Step 3: Cross multiply
    11,716.57x = 16,168.82 × 6,338.99
  4. Step 4: Simplify right side
    11,716.57x = 102,493,966.10
  5. Step 5: Solve for x
    x = 102,493,966.10/11,716.57
  6. Step 6: Final answer
    x = 8,747.78

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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.