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Finding the Fourth Proportional to 8,049.57, 12,072.98 and 2,126.52

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Solution

The fourth proportional to 8,049.57, 12,072.98 and 2,126.52 is: 3,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.57 : 12,072.98 = 2,126.52 : x
  2. Step 2: Convert to fraction form
    8,049.57/12,072.98 = 2,126.52/x
  3. Step 3: Cross multiply
    8,049.57x = 12,072.98 × 2,126.52
  4. Step 4: Simplify right side
    8,049.57x = 25,673,390.48
  5. Step 5: Solve for x
    x = 25,673,390.48/8,049.57
  6. Step 6: Final answer
    x = 3,189.41

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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.