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Finding the Fourth Proportional to 11,614.87, 16,028.49 and 6,309.57

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Solution

The fourth proportional to 11,614.87, 16,028.49 and 6,309.57 is: 8,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.87 : 16,028.49 = 6,309.57 : x
  2. Step 2: Convert to fraction form
    11,614.87/16,028.49 = 6,309.57/x
  3. Step 3: Cross multiply
    11,614.87x = 16,028.49 × 6,309.57
  4. Step 4: Simplify right side
    11,614.87x = 101,132,879.65
  5. Step 5: Solve for x
    x = 101,132,879.65/11,614.87
  6. Step 6: Final answer
    x = 8,707.19

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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.