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Finding the Fourth Proportional to 8,363.37, 12,529.03 and 4,198.50

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Solution

The fourth proportional to 8,363.37, 12,529.03 and 4,198.50 is: 6,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.37 : 12,529.03 = 4,198.50 : x
  2. Step 2: Convert to fraction form
    8,363.37/12,529.03 = 4,198.50/x
  3. Step 3: Cross multiply
    8,363.37x = 12,529.03 × 4,198.50
  4. Step 4: Simplify right side
    8,363.37x = 52,603,132.46
  5. Step 5: Solve for x
    x = 52,603,132.46/8,363.37
  6. Step 6: Final answer
    x = 6,289.71

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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.