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Finding the Fourth Proportional to 8,211.68, 12,317.82 and 2,665.81

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Solution

The fourth proportional to 8,211.68, 12,317.82 and 2,665.81 is: 3,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.68 : 12,317.82 = 2,665.81 : x
  2. Step 2: Convert to fraction form
    8,211.68/12,317.82 = 2,665.81/x
  3. Step 3: Cross multiply
    8,211.68x = 12,317.82 × 2,665.81
  4. Step 4: Simplify right side
    8,211.68x = 32,836,892.82
  5. Step 5: Solve for x
    x = 32,836,892.82/8,211.68
  6. Step 6: Final answer
    x = 3,998.81

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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.