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Finding the Fourth Proportional to 8,134.54, 12,203.28 and 3,694.30

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Solution

The fourth proportional to 8,134.54, 12,203.28 and 3,694.30 is: 5,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.54 : 12,203.28 = 3,694.30 : x
  2. Step 2: Convert to fraction form
    8,134.54/12,203.28 = 3,694.30/x
  3. Step 3: Cross multiply
    8,134.54x = 12,203.28 × 3,694.30
  4. Step 4: Simplify right side
    8,134.54x = 45,082,577.30
  5. Step 5: Solve for x
    x = 45,082,577.30/8,134.54
  6. Step 6: Final answer
    x = 5,542.12

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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.