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Finding the Fourth Proportional to 11,494.49, 17,239.98 and 5,489.03

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Solution

The fourth proportional to 11,494.49, 17,239.98 and 5,489.03 is: 8,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.49 : 17,239.98 = 5,489.03 : x
  2. Step 2: Convert to fraction form
    11,494.49/17,239.98 = 5,489.03/x
  3. Step 3: Cross multiply
    11,494.49x = 17,239.98 × 5,489.03
  4. Step 4: Simplify right side
    11,494.49x = 94,630,767.42
  5. Step 5: Solve for x
    x = 94,630,767.42/11,494.49
  6. Step 6: Final answer
    x = 8,232.71

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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.