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Finding the Fourth Proportional to 8,429.50, 12,640.21 and 3,983.46

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Solution

The fourth proportional to 8,429.50, 12,640.21 and 3,983.46 is: 5,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.50 : 12,640.21 = 3,983.46 : x
  2. Step 2: Convert to fraction form
    8,429.50/12,640.21 = 3,983.46/x
  3. Step 3: Cross multiply
    8,429.50x = 12,640.21 × 3,983.46
  4. Step 4: Simplify right side
    8,429.50x = 50,351,784.67
  5. Step 5: Solve for x
    x = 50,351,784.67/8,429.50
  6. Step 6: Final answer
    x = 5,973.28

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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.