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Finding the Fourth Proportional to 8,142.66, 12,204.63 and 3,455.73

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Solution

The fourth proportional to 8,142.66, 12,204.63 and 3,455.73 is: 5,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.66 : 12,204.63 = 3,455.73 : x
  2. Step 2: Convert to fraction form
    8,142.66/12,204.63 = 3,455.73/x
  3. Step 3: Cross multiply
    8,142.66x = 12,204.63 × 3,455.73
  4. Step 4: Simplify right side
    8,142.66x = 42,175,906.03
  5. Step 5: Solve for x
    x = 42,175,906.03/8,142.66
  6. Step 6: Final answer
    x = 5,179.62

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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.