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Finding the Fourth Proportional to 8,093.14, 12,139.57 and 3,648.33

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Solution

The fourth proportional to 8,093.14, 12,139.57 and 3,648.33 is: 5,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.14 : 12,139.57 = 3,648.33 : x
  2. Step 2: Convert to fraction form
    8,093.14/12,139.57 = 3,648.33/x
  3. Step 3: Cross multiply
    8,093.14x = 12,139.57 × 3,648.33
  4. Step 4: Simplify right side
    8,093.14x = 44,289,157.42
  5. Step 5: Solve for x
    x = 44,289,157.42/8,093.14
  6. Step 6: Final answer
    x = 5,472.43

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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.