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Finding the Fourth Proportional to 8,134.74, 12,202.11 and 3,204.90

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Solution

The fourth proportional to 8,134.74, 12,202.11 and 3,204.90 is: 4,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.74 : 12,202.11 = 3,204.90 : x
  2. Step 2: Convert to fraction form
    8,134.74/12,202.11 = 3,204.90/x
  3. Step 3: Cross multiply
    8,134.74x = 12,202.11 × 3,204.90
  4. Step 4: Simplify right side
    8,134.74x = 39,106,542.34
  5. Step 5: Solve for x
    x = 39,106,542.34/8,134.74
  6. Step 6: Final answer
    x = 4,807.35

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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.