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Finding the Fourth Proportional to 8,241.49, 11,367.01 and 5,969.51

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Solution

The fourth proportional to 8,241.49, 11,367.01 and 5,969.51 is: 8,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.49 : 11,367.01 = 5,969.51 : x
  2. Step 2: Convert to fraction form
    8,241.49/11,367.01 = 5,969.51/x
  3. Step 3: Cross multiply
    8,241.49x = 11,367.01 × 5,969.51
  4. Step 4: Simplify right side
    8,241.49x = 67,855,479.87
  5. Step 5: Solve for x
    x = 67,855,479.87/8,241.49
  6. Step 6: Final answer
    x = 8,233.40

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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.