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Finding the Fourth Proportional to 8,186.78, 11,308.02 and 7,122.44

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Solution

The fourth proportional to 8,186.78, 11,308.02 and 7,122.44 is: 9,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.78 : 11,308.02 = 7,122.44 : x
  2. Step 2: Convert to fraction form
    8,186.78/11,308.02 = 7,122.44/x
  3. Step 3: Cross multiply
    8,186.78x = 11,308.02 × 7,122.44
  4. Step 4: Simplify right side
    8,186.78x = 80,540,693.97
  5. Step 5: Solve for x
    x = 80,540,693.97/8,186.78
  6. Step 6: Final answer
    x = 9,837.90

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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.