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Finding the Fourth Proportional to 8,217.56, 11,340.24 and 4,682.82

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Solution

The fourth proportional to 8,217.56, 11,340.24 and 4,682.82 is: 6,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.56 : 11,340.24 = 4,682.82 : x
  2. Step 2: Convert to fraction form
    8,217.56/11,340.24 = 4,682.82/x
  3. Step 3: Cross multiply
    8,217.56x = 11,340.24 × 4,682.82
  4. Step 4: Simplify right side
    8,217.56x = 53,104,327.64
  5. Step 5: Solve for x
    x = 53,104,327.64/8,217.56
  6. Step 6: Final answer
    x = 6,462.30

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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.