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Finding the Fourth Proportional to 8,241, 12,350.25 and 3,796.08

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Solution

The fourth proportional to 8,241, 12,350.25 and 3,796.08 is: 5,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241 : 12,350.25 = 3,796.08 : x
  2. Step 2: Convert to fraction form
    8,241/12,350.25 = 3,796.08/x
  3. Step 3: Cross multiply
    8,241x = 12,350.25 × 3,796.08
  4. Step 4: Simplify right side
    8,241x = 46,882,537.02
  5. Step 5: Solve for x
    x = 46,882,537.02/8,241
  6. Step 6: Final answer
    x = 5,688.94

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Why These Related Problems?

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