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Finding the Fourth Proportional to 6,997.33, 10,497.80 and 2,614.82

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Solution

The fourth proportional to 6,997.33, 10,497.80 and 2,614.82 is: 3,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.33 : 10,497.80 = 2,614.82 : x
  2. Step 2: Convert to fraction form
    6,997.33/10,497.80 = 2,614.82/x
  3. Step 3: Cross multiply
    6,997.33x = 10,497.80 × 2,614.82
  4. Step 4: Simplify right side
    6,997.33x = 27,449,857.40
  5. Step 5: Solve for x
    x = 27,449,857.40/6,997.33
  6. Step 6: Final answer
    x = 3,922.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.