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Finding the Fourth Proportional to 11,614.85, 17,419.16 and 5,039.49

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Solution

The fourth proportional to 11,614.85, 17,419.16 and 5,039.49 is: 7,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.85 : 17,419.16 = 5,039.49 : x
  2. Step 2: Convert to fraction form
    11,614.85/17,419.16 = 5,039.49/x
  3. Step 3: Cross multiply
    11,614.85x = 17,419.16 × 5,039.49
  4. Step 4: Simplify right side
    11,614.85x = 87,783,657.43
  5. Step 5: Solve for x
    x = 87,783,657.43/11,614.85
  6. Step 6: Final answer
    x = 7,557.88

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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.