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Finding the Fourth Proportional to 8,212.33, 12,324.50 and 3,283.41

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Solution

The fourth proportional to 8,212.33, 12,324.50 and 3,283.41 is: 4,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.33 : 12,324.50 = 3,283.41 : x
  2. Step 2: Convert to fraction form
    8,212.33/12,324.50 = 3,283.41/x
  3. Step 3: Cross multiply
    8,212.33x = 12,324.50 × 3,283.41
  4. Step 4: Simplify right side
    8,212.33x = 40,466,386.55
  5. Step 5: Solve for x
    x = 40,466,386.55/8,212.33
  6. Step 6: Final answer
    x = 4,927.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.