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Finding the Fourth Proportional to 8,211.98, 11,329.10 and 5,380.04

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Solution

The fourth proportional to 8,211.98, 11,329.10 and 5,380.04 is: 7,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.98 : 11,329.10 = 5,380.04 : x
  2. Step 2: Convert to fraction form
    8,211.98/11,329.10 = 5,380.04/x
  3. Step 3: Cross multiply
    8,211.98x = 11,329.10 × 5,380.04
  4. Step 4: Simplify right side
    8,211.98x = 60,951,011.16
  5. Step 5: Solve for x
    x = 60,951,011.16/8,211.98
  6. Step 6: Final answer
    x = 7,422.21

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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.