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Finding the Fourth Proportional to 10,997.96, 15,173.61 and 6,217.44

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Solution

The fourth proportional to 10,997.96, 15,173.61 and 6,217.44 is: 8,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.96 : 15,173.61 = 6,217.44 : x
  2. Step 2: Convert to fraction form
    10,997.96/15,173.61 = 6,217.44/x
  3. Step 3: Cross multiply
    10,997.96x = 15,173.61 × 6,217.44
  4. Step 4: Simplify right side
    10,997.96x = 94,340,918.35
  5. Step 5: Solve for x
    x = 94,340,918.35/10,997.96
  6. Step 6: Final answer
    x = 8,578.04

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