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Finding the Fourth Proportional to 12,760.50, 19,142.91 and 3,993.69

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Solution

The fourth proportional to 12,760.50, 19,142.91 and 3,993.69 is: 5,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.50 : 19,142.91 = 3,993.69 : x
  2. Step 2: Convert to fraction form
    12,760.50/19,142.91 = 3,993.69/x
  3. Step 3: Cross multiply
    12,760.50x = 19,142.91 × 3,993.69
  4. Step 4: Simplify right side
    12,760.50x = 76,450,848.24
  5. Step 5: Solve for x
    x = 76,450,848.24/12,760.50
  6. Step 6: Final answer
    x = 5,991.21

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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.