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Finding the Fourth Proportional to 8,138.37, 12,205.11 and 3,458.33

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Solution

The fourth proportional to 8,138.37, 12,205.11 and 3,458.33 is: 5,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.37 : 12,205.11 = 3,458.33 : x
  2. Step 2: Convert to fraction form
    8,138.37/12,205.11 = 3,458.33/x
  3. Step 3: Cross multiply
    8,138.37x = 12,205.11 × 3,458.33
  4. Step 4: Simplify right side
    8,138.37x = 42,209,295.78
  5. Step 5: Solve for x
    x = 42,209,295.78/8,138.37
  6. Step 6: Final answer
    x = 5,186.45

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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.