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Finding the Fourth Proportional to 8,135.57, 12,193.07 and 4,181.22

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Solution

The fourth proportional to 8,135.57, 12,193.07 and 4,181.22 is: 6,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.57 : 12,193.07 = 4,181.22 : x
  2. Step 2: Convert to fraction form
    8,135.57/12,193.07 = 4,181.22/x
  3. Step 3: Cross multiply
    8,135.57x = 12,193.07 × 4,181.22
  4. Step 4: Simplify right side
    8,135.57x = 50,981,887.24
  5. Step 5: Solve for x
    x = 50,981,887.24/8,135.57
  6. Step 6: Final answer
    x = 6,266.54

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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.