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Finding the Fourth Proportional to 7,954.80, 11,932.34 and 2,408.22

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Solution

The fourth proportional to 7,954.80, 11,932.34 and 2,408.22 is: 3,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.80 : 11,932.34 = 2,408.22 : x
  2. Step 2: Convert to fraction form
    7,954.80/11,932.34 = 2,408.22/x
  3. Step 3: Cross multiply
    7,954.80x = 11,932.34 × 2,408.22
  4. Step 4: Simplify right side
    7,954.80x = 28,735,687.79
  5. Step 5: Solve for x
    x = 28,735,687.79/7,954.80
  6. Step 6: Final answer
    x = 3,612.37

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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.