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Finding the Fourth Proportional to 8,213.55, 11,327.01 and 6,540.48

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Solution

The fourth proportional to 8,213.55, 11,327.01 and 6,540.48 is: 9,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.55 : 11,327.01 = 6,540.48 : x
  2. Step 2: Convert to fraction form
    8,213.55/11,327.01 = 6,540.48/x
  3. Step 3: Cross multiply
    8,213.55x = 11,327.01 × 6,540.48
  4. Step 4: Simplify right side
    8,213.55x = 74,084,082.36
  5. Step 5: Solve for x
    x = 74,084,082.36/8,213.55
  6. Step 6: Final answer
    x = 9,019.74

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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.