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Finding the Fourth Proportional to 8,216.82, 11,338.11 and 4,859.82

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Solution

The fourth proportional to 8,216.82, 11,338.11 and 4,859.82 is: 6,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.82 : 11,338.11 = 4,859.82 : x
  2. Step 2: Convert to fraction form
    8,216.82/11,338.11 = 4,859.82/x
  3. Step 3: Cross multiply
    8,216.82x = 11,338.11 × 4,859.82
  4. Step 4: Simplify right side
    8,216.82x = 55,101,173.74
  5. Step 5: Solve for x
    x = 55,101,173.74/8,216.82
  6. Step 6: Final answer
    x = 6,705.90

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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.