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Finding the Fourth Proportional to 6,238.90, 8,611.13 and 4,114.81

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Solution

The fourth proportional to 6,238.90, 8,611.13 and 4,114.81 is: 5,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.90 : 8,611.13 = 4,114.81 : x
  2. Step 2: Convert to fraction form
    6,238.90/8,611.13 = 4,114.81/x
  3. Step 3: Cross multiply
    6,238.90x = 8,611.13 × 4,114.81
  4. Step 4: Simplify right side
    6,238.90x = 35,433,163.84
  5. Step 5: Solve for x
    x = 35,433,163.84/6,238.90
  6. Step 6: Final answer
    x = 5,679.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.