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Finding the Fourth Proportional to 8,219.50, 12,331.07 and 3,834.56

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Solution

The fourth proportional to 8,219.50, 12,331.07 and 3,834.56 is: 5,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.50 : 12,331.07 = 3,834.56 : x
  2. Step 2: Convert to fraction form
    8,219.50/12,331.07 = 3,834.56/x
  3. Step 3: Cross multiply
    8,219.50x = 12,331.07 × 3,834.56
  4. Step 4: Simplify right side
    8,219.50x = 47,284,253.81
  5. Step 5: Solve for x
    x = 47,284,253.81/8,219.50
  6. Step 6: Final answer
    x = 5,752.69

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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.