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Finding the Fourth Proportional to 8,380.62, 11,560.32 and 5,231.34

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Solution

The fourth proportional to 8,380.62, 11,560.32 and 5,231.34 is: 7,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.62 : 11,560.32 = 5,231.34 : x
  2. Step 2: Convert to fraction form
    8,380.62/11,560.32 = 5,231.34/x
  3. Step 3: Cross multiply
    8,380.62x = 11,560.32 × 5,231.34
  4. Step 4: Simplify right side
    8,380.62x = 60,475,964.43
  5. Step 5: Solve for x
    x = 60,475,964.43/8,380.62
  6. Step 6: Final answer
    x = 7,216.17

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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.