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Finding the Fourth Proportional to 8,601, 12,902.11 and 3,406.88

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Solution

The fourth proportional to 8,601, 12,902.11 and 3,406.88 is: 5,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601 : 12,902.11 = 3,406.88 : x
  2. Step 2: Convert to fraction form
    8,601/12,902.11 = 3,406.88/x
  3. Step 3: Cross multiply
    8,601x = 12,902.11 × 3,406.88
  4. Step 4: Simplify right side
    8,601x = 43,955,940.52
  5. Step 5: Solve for x
    x = 43,955,940.52/8,601
  6. Step 6: Final answer
    x = 5,110.56

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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.