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Finding the Fourth Proportional to 10,997.88, 15,177.09 and 6,282.15

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Solution

The fourth proportional to 10,997.88, 15,177.09 and 6,282.15 is: 8,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.88 : 15,177.09 = 6,282.15 : x
  2. Step 2: Convert to fraction form
    10,997.88/15,177.09 = 6,282.15/x
  3. Step 3: Cross multiply
    10,997.88x = 15,177.09 × 6,282.15
  4. Step 4: Simplify right side
    10,997.88x = 95,344,680.06
  5. Step 5: Solve for x
    x = 95,344,680.06/10,997.88
  6. Step 6: Final answer
    x = 8,669.37

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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.