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Finding the Fourth Proportional to 8,212.78, 12,318.49 and 3,215.22

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Solution

The fourth proportional to 8,212.78, 12,318.49 and 3,215.22 is: 4,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.78 : 12,318.49 = 3,215.22 : x
  2. Step 2: Convert to fraction form
    8,212.78/12,318.49 = 3,215.22/x
  3. Step 3: Cross multiply
    8,212.78x = 12,318.49 × 3,215.22
  4. Step 4: Simplify right side
    8,212.78x = 39,606,655.42
  5. Step 5: Solve for x
    x = 39,606,655.42/8,212.78
  6. Step 6: Final answer
    x = 4,822.56

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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.