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Finding the Fourth Proportional to 8,185.56, 11,295 and 5,196.12

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Solution

The fourth proportional to 8,185.56, 11,295 and 5,196.12 is: 7,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.56 : 11,295 = 5,196.12 : x
  2. Step 2: Convert to fraction form
    8,185.56/11,295 = 5,196.12/x
  3. Step 3: Cross multiply
    8,185.56x = 11,295 × 5,196.12
  4. Step 4: Simplify right side
    8,185.56x = 58,690,175.40
  5. Step 5: Solve for x
    x = 58,690,175.40/8,185.56
  6. Step 6: Final answer
    x = 7,169.96

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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.