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Finding the Fourth Proportional to 8,231.12, 12,342.84 and 4,769.36

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Solution

The fourth proportional to 8,231.12, 12,342.84 and 4,769.36 is: 7,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.12 : 12,342.84 = 4,769.36 : x
  2. Step 2: Convert to fraction form
    8,231.12/12,342.84 = 4,769.36/x
  3. Step 3: Cross multiply
    8,231.12x = 12,342.84 × 4,769.36
  4. Step 4: Simplify right side
    8,231.12x = 58,867,447.38
  5. Step 5: Solve for x
    x = 58,867,447.38/8,231.12
  6. Step 6: Final answer
    x = 7,151.81

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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.