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Finding the Fourth Proportional to 6,138.12, 8,467.11 and 3,778.59

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Solution

The fourth proportional to 6,138.12, 8,467.11 and 3,778.59 is: 5,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.12 : 8,467.11 = 3,778.59 : x
  2. Step 2: Convert to fraction form
    6,138.12/8,467.11 = 3,778.59/x
  3. Step 3: Cross multiply
    6,138.12x = 8,467.11 × 3,778.59
  4. Step 4: Simplify right side
    6,138.12x = 31,993,737.17
  5. Step 5: Solve for x
    x = 31,993,737.17/6,138.12
  6. Step 6: Final answer
    x = 5,212.30

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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.