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Finding the Fourth Proportional to 8,138.78, 12,194.22 and 4,443.60

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Solution

The fourth proportional to 8,138.78, 12,194.22 and 4,443.60 is: 6,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.78 : 12,194.22 = 4,443.60 : x
  2. Step 2: Convert to fraction form
    8,138.78/12,194.22 = 4,443.60/x
  3. Step 3: Cross multiply
    8,138.78x = 12,194.22 × 4,443.60
  4. Step 4: Simplify right side
    8,138.78x = 54,186,235.99
  5. Step 5: Solve for x
    x = 54,186,235.99/8,138.78
  6. Step 6: Final answer
    x = 6,657.78

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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.