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Finding the Fourth Proportional to 11,494.78, 17,243.88 and 5,651.80

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Solution

The fourth proportional to 11,494.78, 17,243.88 and 5,651.80 is: 8,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.78 : 17,243.88 = 5,651.80 : x
  2. Step 2: Convert to fraction form
    11,494.78/17,243.88 = 5,651.80/x
  3. Step 3: Cross multiply
    11,494.78x = 17,243.88 × 5,651.80
  4. Step 4: Simplify right side
    11,494.78x = 97,458,960.98
  5. Step 5: Solve for x
    x = 97,458,960.98/11,494.78
  6. Step 6: Final answer
    x = 8,478.54

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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.