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Finding the Fourth Proportional to 8,380.26, 11,561.22 and 5,022

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Solution

The fourth proportional to 8,380.26, 11,561.22 and 5,022 is: 6,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.26 : 11,561.22 = 5,022 : x
  2. Step 2: Convert to fraction form
    8,380.26/11,561.22 = 5,022/x
  3. Step 3: Cross multiply
    8,380.26x = 11,561.22 × 5,022
  4. Step 4: Simplify right side
    8,380.26x = 58,060,446.84
  5. Step 5: Solve for x
    x = 58,060,446.84/8,380.26
  6. Step 6: Final answer
    x = 6,928.24

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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.