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Finding the Fourth Proportional to 8,175.56, 11,282.70 and 6,182.69

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Solution

The fourth proportional to 8,175.56, 11,282.70 and 6,182.69 is: 8,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.56 : 11,282.70 = 6,182.69 : x
  2. Step 2: Convert to fraction form
    8,175.56/11,282.70 = 6,182.69/x
  3. Step 3: Cross multiply
    8,175.56x = 11,282.70 × 6,182.69
  4. Step 4: Simplify right side
    8,175.56x = 69,757,380.05
  5. Step 5: Solve for x
    x = 69,757,380.05/8,175.56
  6. Step 6: Final answer
    x = 8,532.43

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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.