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Finding the Fourth Proportional to 11,286.87, 16,910.25 and 9,626.57

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Solution

The fourth proportional to 11,286.87, 16,910.25 and 9,626.57 is: 14,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.87 : 16,910.25 = 9,626.57 : x
  2. Step 2: Convert to fraction form
    11,286.87/16,910.25 = 9,626.57/x
  3. Step 3: Cross multiply
    11,286.87x = 16,910.25 × 9,626.57
  4. Step 4: Simplify right side
    11,286.87x = 162,787,705.34
  5. Step 5: Solve for x
    x = 162,787,705.34/11,286.87
  6. Step 6: Final answer
    x = 14,422.75

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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.