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Finding the Fourth Proportional to 11,614.97, 16,028.68 and 6,309.67

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Solution

The fourth proportional to 11,614.97, 16,028.68 and 6,309.67 is: 8,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.97 : 16,028.68 = 6,309.67 : x
  2. Step 2: Convert to fraction form
    11,614.97/16,028.68 = 6,309.67/x
  3. Step 3: Cross multiply
    11,614.97x = 16,028.68 × 6,309.67
  4. Step 4: Simplify right side
    11,614.97x = 101,135,681.34
  5. Step 5: Solve for x
    x = 101,135,681.34/11,614.97
  6. Step 6: Final answer
    x = 8,707.36

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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.