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Finding the Fourth Proportional to 11,738.92, 17,614.07 and 5,164.25

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Solution

The fourth proportional to 11,738.92, 17,614.07 and 5,164.25 is: 7,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.92 : 17,614.07 = 5,164.25 : x
  2. Step 2: Convert to fraction form
    11,738.92/17,614.07 = 5,164.25/x
  3. Step 3: Cross multiply
    11,738.92x = 17,614.07 × 5,164.25
  4. Step 4: Simplify right side
    11,738.92x = 90,963,473.91
  5. Step 5: Solve for x
    x = 90,963,473.91/11,738.92
  6. Step 6: Final answer
    x = 7,748.88

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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.