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Finding the Fourth Proportional to 6,906.60, 10,355.04 and 3,204.90

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Solution

The fourth proportional to 6,906.60, 10,355.04 and 3,204.90 is: 4,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.60 : 10,355.04 = 3,204.90 : x
  2. Step 2: Convert to fraction form
    6,906.60/10,355.04 = 3,204.90/x
  3. Step 3: Cross multiply
    6,906.60x = 10,355.04 × 3,204.90
  4. Step 4: Simplify right side
    6,906.60x = 33,186,867.70
  5. Step 5: Solve for x
    x = 33,186,867.70/6,906.60
  6. Step 6: Final answer
    x = 4,805.09

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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.