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Finding the Fourth Proportional to 8,181.91, 11,287.65 and 5,350.42

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Solution

The fourth proportional to 8,181.91, 11,287.65 and 5,350.42 is: 7,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.91 : 11,287.65 = 5,350.42 : x
  2. Step 2: Convert to fraction form
    8,181.91/11,287.65 = 5,350.42/x
  3. Step 3: Cross multiply
    8,181.91x = 11,287.65 × 5,350.42
  4. Step 4: Simplify right side
    8,181.91x = 60,393,668.31
  5. Step 5: Solve for x
    x = 60,393,668.31/8,181.91
  6. Step 6: Final answer
    x = 7,381.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.