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Finding the Fourth Proportional to 8,156.78, 12,233.10 and 3,474.20

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Solution

The fourth proportional to 8,156.78, 12,233.10 and 3,474.20 is: 5,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.78 : 12,233.10 = 3,474.20 : x
  2. Step 2: Convert to fraction form
    8,156.78/12,233.10 = 3,474.20/x
  3. Step 3: Cross multiply
    8,156.78x = 12,233.10 × 3,474.20
  4. Step 4: Simplify right side
    8,156.78x = 42,500,236.02
  5. Step 5: Solve for x
    x = 42,500,236.02/8,156.78
  6. Step 6: Final answer
    x = 5,210.42

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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.