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Finding the Fourth Proportional to 8,234.51, 12,351.96 and 4,074.75

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Solution

The fourth proportional to 8,234.51, 12,351.96 and 4,074.75 is: 6,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.51 : 12,351.96 = 4,074.75 : x
  2. Step 2: Convert to fraction form
    8,234.51/12,351.96 = 4,074.75/x
  3. Step 3: Cross multiply
    8,234.51x = 12,351.96 × 4,074.75
  4. Step 4: Simplify right side
    8,234.51x = 50,331,149.01
  5. Step 5: Solve for x
    x = 50,331,149.01/8,234.51
  6. Step 6: Final answer
    x = 6,112.23

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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.