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Finding the Fourth Proportional to 11,614.68, 16,028.60 and 6,309.86

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Solution

The fourth proportional to 11,614.68, 16,028.60 and 6,309.86 is: 8,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.68 : 16,028.60 = 6,309.86 : x
  2. Step 2: Convert to fraction form
    11,614.68/16,028.60 = 6,309.86/x
  3. Step 3: Cross multiply
    11,614.68x = 16,028.60 × 6,309.86
  4. Step 4: Simplify right side
    11,614.68x = 101,138,110.30
  5. Step 5: Solve for x
    x = 101,138,110.30/11,614.68
  6. Step 6: Final answer
    x = 8,707.78

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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.