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Finding the Fourth Proportional to 10,997.75, 15,176.90 and 6,029.75

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Solution

The fourth proportional to 10,997.75, 15,176.90 and 6,029.75 is: 8,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.75 : 15,176.90 = 6,029.75 : x
  2. Step 2: Convert to fraction form
    10,997.75/15,176.90 = 6,029.75/x
  3. Step 3: Cross multiply
    10,997.75x = 15,176.90 × 6,029.75
  4. Step 4: Simplify right side
    10,997.75x = 91,512,912.78
  5. Step 5: Solve for x
    x = 91,512,912.78/10,997.75
  6. Step 6: Final answer
    x = 8,321.06

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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.