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Finding the Fourth Proportional to 11,744.49, 17,614.36 and 5,502.84

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Solution

The fourth proportional to 11,744.49, 17,614.36 and 5,502.84 is: 8,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.49 : 17,614.36 = 5,502.84 : x
  2. Step 2: Convert to fraction form
    11,744.49/17,614.36 = 5,502.84/x
  3. Step 3: Cross multiply
    11,744.49x = 17,614.36 × 5,502.84
  4. Step 4: Simplify right side
    11,744.49x = 96,928,945.61
  5. Step 5: Solve for x
    x = 96,928,945.61/11,744.49
  6. Step 6: Final answer
    x = 8,253.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.