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Finding the Fourth Proportional to 8,227.71, 12,341.36 and 3,850.07

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Solution

The fourth proportional to 8,227.71, 12,341.36 and 3,850.07 is: 5,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.71 : 12,341.36 = 3,850.07 : x
  2. Step 2: Convert to fraction form
    8,227.71/12,341.36 = 3,850.07/x
  3. Step 3: Cross multiply
    8,227.71x = 12,341.36 × 3,850.07
  4. Step 4: Simplify right side
    8,227.71x = 47,515,099.90
  5. Step 5: Solve for x
    x = 47,515,099.90/8,227.71
  6. Step 6: Final answer
    x = 5,775.01

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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.