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Finding the Fourth Proportional to 8,441.39, 11,642.06 and 6,175.55

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Solution

The fourth proportional to 8,441.39, 11,642.06 and 6,175.55 is: 8,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.39 : 11,642.06 = 6,175.55 : x
  2. Step 2: Convert to fraction form
    8,441.39/11,642.06 = 6,175.55/x
  3. Step 3: Cross multiply
    8,441.39x = 11,642.06 × 6,175.55
  4. Step 4: Simplify right side
    8,441.39x = 71,896,092.76
  5. Step 5: Solve for x
    x = 71,896,092.76/8,441.39
  6. Step 6: Final answer
    x = 8,517.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.