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Finding the Fourth Proportional to 10,997.84, 15,176.97 and 5,962.18

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Solution

The fourth proportional to 10,997.84, 15,176.97 and 5,962.18 is: 8,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.84 : 15,176.97 = 5,962.18 : x
  2. Step 2: Convert to fraction form
    10,997.84/15,176.97 = 5,962.18/x
  3. Step 3: Cross multiply
    10,997.84x = 15,176.97 × 5,962.18
  4. Step 4: Simplify right side
    10,997.84x = 90,487,826.99
  5. Step 5: Solve for x
    x = 90,487,826.99/10,997.84
  6. Step 6: Final answer
    x = 8,227.78

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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.