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Finding the Fourth Proportional to 11,614.48, 16,028.10 and 6,309.40

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Solution

The fourth proportional to 11,614.48, 16,028.10 and 6,309.40 is: 8,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.48 : 16,028.10 = 6,309.40 : x
  2. Step 2: Convert to fraction form
    11,614.48/16,028.10 = 6,309.40/x
  3. Step 3: Cross multiply
    11,614.48x = 16,028.10 × 6,309.40
  4. Step 4: Simplify right side
    11,614.48x = 101,127,694.14
  5. Step 5: Solve for x
    x = 101,127,694.14/11,614.48
  6. Step 6: Final answer
    x = 8,707.04

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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.