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Finding the Fourth Proportional to 11,380.69, 17,074.07 and 3,589.50

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Solution

The fourth proportional to 11,380.69, 17,074.07 and 3,589.50 is: 5,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.69 : 17,074.07 = 3,589.50 : x
  2. Step 2: Convert to fraction form
    11,380.69/17,074.07 = 3,589.50/x
  3. Step 3: Cross multiply
    11,380.69x = 17,074.07 × 3,589.50
  4. Step 4: Simplify right side
    11,380.69x = 61,287,369.78
  5. Step 5: Solve for x
    x = 61,287,369.78/11,380.69
  6. Step 6: Final answer
    x = 5,385.21

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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.