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Finding the Fourth Proportional to 8,212.64, 12,327.73 and 3,534.97

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Solution

The fourth proportional to 8,212.64, 12,327.73 and 3,534.97 is: 5,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.64 : 12,327.73 = 3,534.97 : x
  2. Step 2: Convert to fraction form
    8,212.64/12,327.73 = 3,534.97/x
  3. Step 3: Cross multiply
    8,212.64x = 12,327.73 × 3,534.97
  4. Step 4: Simplify right side
    8,212.64x = 43,578,119.42
  5. Step 5: Solve for x
    x = 43,578,119.42/8,212.64
  6. Step 6: Final answer
    x = 5,306.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.