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Finding the Fourth Proportional to 8,450.14, 12,677.10 and 2,606.80

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Solution

The fourth proportional to 8,450.14, 12,677.10 and 2,606.80 is: 3,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.14 : 12,677.10 = 2,606.80 : x
  2. Step 2: Convert to fraction form
    8,450.14/12,677.10 = 2,606.80/x
  3. Step 3: Cross multiply
    8,450.14x = 12,677.10 × 2,606.80
  4. Step 4: Simplify right side
    8,450.14x = 33,046,664.28
  5. Step 5: Solve for x
    x = 33,046,664.28/8,450.14
  6. Step 6: Final answer
    x = 3,910.78

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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.