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Finding the Fourth Proportional to 8,422.56, 11,616.84 and 8,050.32

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Solution

The fourth proportional to 8,422.56, 11,616.84 and 8,050.32 is: 11,103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.56 : 11,616.84 = 8,050.32 : x
  2. Step 2: Convert to fraction form
    8,422.56/11,616.84 = 8,050.32/x
  3. Step 3: Cross multiply
    8,422.56x = 11,616.84 × 8,050.32
  4. Step 4: Simplify right side
    8,422.56x = 93,519,279.39
  5. Step 5: Solve for x
    x = 93,519,279.39/8,422.56
  6. Step 6: Final answer
    x = 11,103.43

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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.