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Finding the Fourth Proportional to 10,997.16, 15,176.16 and 5,961.46

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Solution

The fourth proportional to 10,997.16, 15,176.16 and 5,961.46 is: 8,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.16 : 15,176.16 = 5,961.46 : x
  2. Step 2: Convert to fraction form
    10,997.16/15,176.16 = 5,961.46/x
  3. Step 3: Cross multiply
    10,997.16x = 15,176.16 × 5,961.46
  4. Step 4: Simplify right side
    10,997.16x = 90,472,133.52
  5. Step 5: Solve for x
    x = 90,472,133.52/10,997.16
  6. Step 6: Final answer
    x = 8,226.86

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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.