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Finding the Fourth Proportional to 10,682.66, 16,027.23 and 7,568.69

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Solution

The fourth proportional to 10,682.66, 16,027.23 and 7,568.69 is: 11,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.66 : 16,027.23 = 7,568.69 : x
  2. Step 2: Convert to fraction form
    10,682.66/16,027.23 = 7,568.69/x
  3. Step 3: Cross multiply
    10,682.66x = 16,027.23 × 7,568.69
  4. Step 4: Simplify right side
    10,682.66x = 121,305,175.50
  5. Step 5: Solve for x
    x = 121,305,175.50/10,682.66
  6. Step 6: Final answer
    x = 11,355.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.