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Finding the Fourth Proportional to 8,296.22, 11,449.60 and 6,196.70

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Solution

The fourth proportional to 8,296.22, 11,449.60 and 6,196.70 is: 8,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.22 : 11,449.60 = 6,196.70 : x
  2. Step 2: Convert to fraction form
    8,296.22/11,449.60 = 6,196.70/x
  3. Step 3: Cross multiply
    8,296.22x = 11,449.60 × 6,196.70
  4. Step 4: Simplify right side
    8,296.22x = 70,949,736.32
  5. Step 5: Solve for x
    x = 70,949,736.32/8,296.22
  6. Step 6: Final answer
    x = 8,552.06

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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.