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Finding the Fourth Proportional to 7,954.88, 11,932.61 and 2,408.67

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Solution

The fourth proportional to 7,954.88, 11,932.61 and 2,408.67 is: 3,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.88 : 11,932.61 = 2,408.67 : x
  2. Step 2: Convert to fraction form
    7,954.88/11,932.61 = 2,408.67/x
  3. Step 3: Cross multiply
    7,954.88x = 11,932.61 × 2,408.67
  4. Step 4: Simplify right side
    7,954.88x = 28,741,707.69
  5. Step 5: Solve for x
    x = 28,741,707.69/7,954.88
  6. Step 6: Final answer
    x = 3,613.09

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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.