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Finding the Fourth Proportional to 7,997.91, 11,975.34 and 5,217.69

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Solution

The fourth proportional to 7,997.91, 11,975.34 and 5,217.69 is: 7,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.91 : 11,975.34 = 5,217.69 : x
  2. Step 2: Convert to fraction form
    7,997.91/11,975.34 = 5,217.69/x
  3. Step 3: Cross multiply
    7,997.91x = 11,975.34 × 5,217.69
  4. Step 4: Simplify right side
    7,997.91x = 62,483,611.76
  5. Step 5: Solve for x
    x = 62,483,611.76/7,997.91
  6. Step 6: Final answer
    x = 7,812.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.