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Finding the Fourth Proportional to 8,102.10, 11,164.22 and 6,213.60

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Solution

The fourth proportional to 8,102.10, 11,164.22 and 6,213.60 is: 8,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.10 : 11,164.22 = 6,213.60 : x
  2. Step 2: Convert to fraction form
    8,102.10/11,164.22 = 6,213.60/x
  3. Step 3: Cross multiply
    8,102.10x = 11,164.22 × 6,213.60
  4. Step 4: Simplify right side
    8,102.10x = 69,369,997.39
  5. Step 5: Solve for x
    x = 69,369,997.39/8,102.10
  6. Step 6: Final answer
    x = 8,561.98

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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.