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Finding the Fourth Proportional to 8,519.50, 12,768.43 and 3,834.49

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Solution

The fourth proportional to 8,519.50, 12,768.43 and 3,834.49 is: 5,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.50 : 12,768.43 = 3,834.49 : x
  2. Step 2: Convert to fraction form
    8,519.50/12,768.43 = 3,834.49/x
  3. Step 3: Cross multiply
    8,519.50x = 12,768.43 × 3,834.49
  4. Step 4: Simplify right side
    8,519.50x = 48,960,417.15
  5. Step 5: Solve for x
    x = 48,960,417.15/8,519.50
  6. Step 6: Final answer
    x = 5,746.87

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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.