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Finding the Fourth Proportional to 10,777.62, 16,168.06 and 3,850.50

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Solution

The fourth proportional to 10,777.62, 16,168.06 and 3,850.50 is: 5,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.62 : 16,168.06 = 3,850.50 : x
  2. Step 2: Convert to fraction form
    10,777.62/16,168.06 = 3,850.50/x
  3. Step 3: Cross multiply
    10,777.62x = 16,168.06 × 3,850.50
  4. Step 4: Simplify right side
    10,777.62x = 62,255,115.03
  5. Step 5: Solve for x
    x = 62,255,115.03/10,777.62
  6. Step 6: Final answer
    x = 5,776.33

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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.