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Finding the Fourth Proportional to 8,366.94, 12,542.24 and 3,983.22

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Solution

The fourth proportional to 8,366.94, 12,542.24 and 3,983.22 is: 5,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.94 : 12,542.24 = 3,983.22 : x
  2. Step 2: Convert to fraction form
    8,366.94/12,542.24 = 3,983.22/x
  3. Step 3: Cross multiply
    8,366.94x = 12,542.24 × 3,983.22
  4. Step 4: Simplify right side
    8,366.94x = 49,958,438.50
  5. Step 5: Solve for x
    x = 49,958,438.50/8,366.94
  6. Step 6: Final answer
    x = 5,970.94

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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.