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Finding the Fourth Proportional to 11,716.10, 16,168.17 and 6,338.54

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Solution

The fourth proportional to 11,716.10, 16,168.17 and 6,338.54 is: 8,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.10 : 16,168.17 = 6,338.54 : x
  2. Step 2: Convert to fraction form
    11,716.10/16,168.17 = 6,338.54/x
  3. Step 3: Cross multiply
    11,716.10x = 16,168.17 × 6,338.54
  4. Step 4: Simplify right side
    11,716.10x = 102,482,592.27
  5. Step 5: Solve for x
    x = 102,482,592.27/11,716.10
  6. Step 6: Final answer
    x = 8,747.16

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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.