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Finding the Fourth Proportional to 8,212.19, 12,327.50 and 3,285.27

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Solution

The fourth proportional to 8,212.19, 12,327.50 and 3,285.27 is: 4,931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.19 : 12,327.50 = 3,285.27 : x
  2. Step 2: Convert to fraction form
    8,212.19/12,327.50 = 3,285.27/x
  3. Step 3: Cross multiply
    8,212.19x = 12,327.50 × 3,285.27
  4. Step 4: Simplify right side
    8,212.19x = 40,499,127.91
  5. Step 5: Solve for x
    x = 40,499,127.91/8,212.19
  6. Step 6: Final answer
    x = 4,931.59

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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.