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Finding the Fourth Proportional to 8,105.54, 12,136.38 and 4,201.74

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Solution

The fourth proportional to 8,105.54, 12,136.38 and 4,201.74 is: 6,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.54 : 12,136.38 = 4,201.74 : x
  2. Step 2: Convert to fraction form
    8,105.54/12,136.38 = 4,201.74/x
  3. Step 3: Cross multiply
    8,105.54x = 12,136.38 × 4,201.74
  4. Step 4: Simplify right side
    8,105.54x = 50,993,913.30
  5. Step 5: Solve for x
    x = 50,993,913.30/8,105.54
  6. Step 6: Final answer
    x = 6,291.25

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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.