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Finding the Fourth Proportional to 8,344.67, 11,516.23 and 5,361.44

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Solution

The fourth proportional to 8,344.67, 11,516.23 and 5,361.44 is: 7,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.67 : 11,516.23 = 5,361.44 : x
  2. Step 2: Convert to fraction form
    8,344.67/11,516.23 = 5,361.44/x
  3. Step 3: Cross multiply
    8,344.67x = 11,516.23 × 5,361.44
  4. Step 4: Simplify right side
    8,344.67x = 61,743,559.91
  5. Step 5: Solve for x
    x = 61,743,559.91/8,344.67
  6. Step 6: Final answer
    x = 7,399.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.