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Finding the Fourth Proportional to 8,034.42, 12,052.10 and 3,104.09

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Solution

The fourth proportional to 8,034.42, 12,052.10 and 3,104.09 is: 4,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.42 : 12,052.10 = 3,104.09 : x
  2. Step 2: Convert to fraction form
    8,034.42/12,052.10 = 3,104.09/x
  3. Step 3: Cross multiply
    8,034.42x = 12,052.10 × 3,104.09
  4. Step 4: Simplify right side
    8,034.42x = 37,410,727.31
  5. Step 5: Solve for x
    x = 37,410,727.31/8,034.42
  6. Step 6: Final answer
    x = 4,656.31

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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.