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Finding the Fourth Proportional to 6,241.33, 8,614.49 and 4,117.24

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Solution

The fourth proportional to 6,241.33, 8,614.49 and 4,117.24 is: 5,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.33 : 8,614.49 = 4,117.24 : x
  2. Step 2: Convert to fraction form
    6,241.33/8,614.49 = 4,117.24/x
  3. Step 3: Cross multiply
    6,241.33x = 8,614.49 × 4,117.24
  4. Step 4: Simplify right side
    6,241.33x = 35,467,912.99
  5. Step 5: Solve for x
    x = 35,467,912.99/6,241.33
  6. Step 6: Final answer
    x = 5,682.75

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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.