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Finding the Fourth Proportional to 7,489.50, 11,227.91 and 5,016.75

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Solution

The fourth proportional to 7,489.50, 11,227.91 and 5,016.75 is: 7,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.50 : 11,227.91 = 5,016.75 : x
  2. Step 2: Convert to fraction form
    7,489.50/11,227.91 = 5,016.75/x
  3. Step 3: Cross multiply
    7,489.50x = 11,227.91 × 5,016.75
  4. Step 4: Simplify right side
    7,489.50x = 56,327,592.41
  5. Step 5: Solve for x
    x = 56,327,592.41/7,489.50
  6. Step 6: Final answer
    x = 7,520.87

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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.