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Finding the Fourth Proportional to 8,211, 12,318.45 and 2,664.36

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Solution

The fourth proportional to 8,211, 12,318.45 and 2,664.36 is: 3,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 12,318.45 = 2,664.36 : x
  2. Step 2: Convert to fraction form
    8,211/12,318.45 = 2,664.36/x
  3. Step 3: Cross multiply
    8,211x = 12,318.45 × 2,664.36
  4. Step 4: Simplify right side
    8,211x = 32,820,785.44
  5. Step 5: Solve for x
    x = 32,820,785.44/8,211
  6. Step 6: Final answer
    x = 3,997.17

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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.