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Finding the Fourth Proportional to 8,175.36, 11,262 and 5,930.64

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Solution

The fourth proportional to 8,175.36, 11,262 and 5,930.64 is: 8,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.36 : 11,262 = 5,930.64 : x
  2. Step 2: Convert to fraction form
    8,175.36/11,262 = 5,930.64/x
  3. Step 3: Cross multiply
    8,175.36x = 11,262 × 5,930.64
  4. Step 4: Simplify right side
    8,175.36x = 66,790,867.68
  5. Step 5: Solve for x
    x = 66,790,867.68/8,175.36
  6. Step 6: Final answer
    x = 8,169.78

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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.