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Finding the Fourth Proportional to 8,230.88, 11,363.28 and 5,682.62

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Solution

The fourth proportional to 8,230.88, 11,363.28 and 5,682.62 is: 7,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.88 : 11,363.28 = 5,682.62 : x
  2. Step 2: Convert to fraction form
    8,230.88/11,363.28 = 5,682.62/x
  3. Step 3: Cross multiply
    8,230.88x = 11,363.28 × 5,682.62
  4. Step 4: Simplify right side
    8,230.88x = 64,573,202.19
  5. Step 5: Solve for x
    x = 64,573,202.19/8,230.88
  6. Step 6: Final answer
    x = 7,845.24

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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.