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Finding the Fourth Proportional to 11,049.50, 16,570.49 and 4,027.87

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Solution

The fourth proportional to 11,049.50, 16,570.49 and 4,027.87 is: 6,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.50 : 16,570.49 = 4,027.87 : x
  2. Step 2: Convert to fraction form
    11,049.50/16,570.49 = 4,027.87/x
  3. Step 3: Cross multiply
    11,049.50x = 16,570.49 × 4,027.87
  4. Step 4: Simplify right side
    11,049.50x = 66,743,709.58
  5. Step 5: Solve for x
    x = 66,743,709.58/11,049.50
  6. Step 6: Final answer
    x = 6,040.43

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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.