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Finding the Fourth Proportional to 11,286.40, 16,897.20 and 6,912.40

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Solution

The fourth proportional to 11,286.40, 16,897.20 and 6,912.40 is: 10,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.40 : 16,897.20 = 6,912.40 : x
  2. Step 2: Convert to fraction form
    11,286.40/16,897.20 = 6,912.40/x
  3. Step 3: Cross multiply
    11,286.40x = 16,897.20 × 6,912.40
  4. Step 4: Simplify right side
    11,286.40x = 116,800,205.28
  5. Step 5: Solve for x
    x = 116,800,205.28/11,286.40
  6. Step 6: Final answer
    x = 10,348.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.