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Finding the Fourth Proportional to 11,805.87, 16,286.49 and 7,328.19

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Solution

The fourth proportional to 11,805.87, 16,286.49 and 7,328.19 is: 10,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.87 : 16,286.49 = 7,328.19 : x
  2. Step 2: Convert to fraction form
    11,805.87/16,286.49 = 7,328.19/x
  3. Step 3: Cross multiply
    11,805.87x = 16,286.49 × 7,328.19
  4. Step 4: Simplify right side
    11,805.87x = 119,350,493.15
  5. Step 5: Solve for x
    x = 119,350,493.15/11,805.87
  6. Step 6: Final answer
    x = 10,109.42

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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.