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Finding the Fourth Proportional to 8,234.64, 12,342.24 and 3,034.44

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Solution

The fourth proportional to 8,234.64, 12,342.24 and 3,034.44 is: 4,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.64 : 12,342.24 = 3,034.44 : x
  2. Step 2: Convert to fraction form
    8,234.64/12,342.24 = 3,034.44/x
  3. Step 3: Cross multiply
    8,234.64x = 12,342.24 × 3,034.44
  4. Step 4: Simplify right side
    8,234.64x = 37,451,786.75
  5. Step 5: Solve for x
    x = 37,451,786.75/8,234.64
  6. Step 6: Final answer
    x = 4,548.08

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Why These Related Problems?

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