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Finding the Fourth Proportional to 11,614.73, 16,028.24 and 6,309.58

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Solution

The fourth proportional to 11,614.73, 16,028.24 and 6,309.58 is: 8,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.73 : 16,028.24 = 6,309.58 : x
  2. Step 2: Convert to fraction form
    11,614.73/16,028.24 = 6,309.58/x
  3. Step 3: Cross multiply
    11,614.73x = 16,028.24 × 6,309.58
  4. Step 4: Simplify right side
    11,614.73x = 101,131,451.03
  5. Step 5: Solve for x
    x = 101,131,451.03/11,614.73
  6. Step 6: Final answer
    x = 8,707.17

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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.