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Finding the Fourth Proportional to 11,770.43, 17,658.06 and 3,450.71

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Solution

The fourth proportional to 11,770.43, 17,658.06 and 3,450.71 is: 5,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.43 : 17,658.06 = 3,450.71 : x
  2. Step 2: Convert to fraction form
    11,770.43/17,658.06 = 3,450.71/x
  3. Step 3: Cross multiply
    11,770.43x = 17,658.06 × 3,450.71
  4. Step 4: Simplify right side
    11,770.43x = 60,932,755.93
  5. Step 5: Solve for x
    x = 60,932,755.93/11,770.43
  6. Step 6: Final answer
    x = 5,176.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.