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Finding the Fourth Proportional to 10,286.61, 14,198.97 and 7,311.09

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Solution

The fourth proportional to 10,286.61, 14,198.97 and 7,311.09 is: 10,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.61 : 14,198.97 = 7,311.09 : x
  2. Step 2: Convert to fraction form
    10,286.61/14,198.97 = 7,311.09/x
  3. Step 3: Cross multiply
    10,286.61x = 14,198.97 × 7,311.09
  4. Step 4: Simplify right side
    10,286.61x = 103,809,947.58
  5. Step 5: Solve for x
    x = 103,809,947.58/10,286.61
  6. Step 6: Final answer
    x = 10,091.75

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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.