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Finding the Fourth Proportional to 6,996.33, 10,496.30 and 2,613.82

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Solution

The fourth proportional to 6,996.33, 10,496.30 and 2,613.82 is: 3,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.33 : 10,496.30 = 2,613.82 : x
  2. Step 2: Convert to fraction form
    6,996.33/10,496.30 = 2,613.82/x
  3. Step 3: Cross multiply
    6,996.33x = 10,496.30 × 2,613.82
  4. Step 4: Simplify right side
    6,996.33x = 27,435,438.87
  5. Step 5: Solve for x
    x = 27,435,438.87/6,996.33
  6. Step 6: Final answer
    x = 3,921.40

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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.