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Finding the Fourth Proportional to 11,614.75, 16,028.21 and 6,309.61

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Solution

The fourth proportional to 11,614.75, 16,028.21 and 6,309.61 is: 8,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.75 : 16,028.21 = 6,309.61 : x
  2. Step 2: Convert to fraction form
    11,614.75/16,028.21 = 6,309.61/x
  3. Step 3: Cross multiply
    11,614.75x = 16,028.21 × 6,309.61
  4. Step 4: Simplify right side
    11,614.75x = 101,131,754.10
  5. Step 5: Solve for x
    x = 101,131,754.10/11,614.75
  6. Step 6: Final answer
    x = 8,707.18

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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.