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Finding the Fourth Proportional to 8,134.05, 12,201.08 and 3,200.99

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Solution

The fourth proportional to 8,134.05, 12,201.08 and 3,200.99 is: 4,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.05 : 12,201.08 = 3,200.99 : x
  2. Step 2: Convert to fraction form
    8,134.05/12,201.08 = 3,200.99/x
  3. Step 3: Cross multiply
    8,134.05x = 12,201.08 × 3,200.99
  4. Step 4: Simplify right side
    8,134.05x = 39,055,549.57
  5. Step 5: Solve for x
    x = 39,055,549.57/8,134.05
  6. Step 6: Final answer
    x = 4,801.49

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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.