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Finding the Fourth Proportional to 10,997.34, 15,176.34 and 5,961.57

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Solution

The fourth proportional to 10,997.34, 15,176.34 and 5,961.57 is: 8,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.34 : 15,176.34 = 5,961.57 : x
  2. Step 2: Convert to fraction form
    10,997.34/15,176.34 = 5,961.57/x
  3. Step 3: Cross multiply
    10,997.34x = 15,176.34 × 5,961.57
  4. Step 4: Simplify right side
    10,997.34x = 90,474,813.25
  5. Step 5: Solve for x
    x = 90,474,813.25/10,997.34
  6. Step 6: Final answer
    x = 8,226.97

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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.