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Finding the Fourth Proportional to 6,138.15, 8,467.74 and 4,149.40

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Solution

The fourth proportional to 6,138.15, 8,467.74 and 4,149.40 is: 5,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.15 : 8,467.74 = 4,149.40 : x
  2. Step 2: Convert to fraction form
    6,138.15/8,467.74 = 4,149.40/x
  3. Step 3: Cross multiply
    6,138.15x = 8,467.74 × 4,149.40
  4. Step 4: Simplify right side
    6,138.15x = 35,136,040.36
  5. Step 5: Solve for x
    x = 35,136,040.36/6,138.15
  6. Step 6: Final answer
    x = 5,724.21

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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.