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Finding the Fourth Proportional to 8,234.76, 12,352.05 and 3,304.32

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Solution

The fourth proportional to 8,234.76, 12,352.05 and 3,304.32 is: 4,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.76 : 12,352.05 = 3,304.32 : x
  2. Step 2: Convert to fraction form
    8,234.76/12,352.05 = 3,304.32/x
  3. Step 3: Cross multiply
    8,234.76x = 12,352.05 × 3,304.32
  4. Step 4: Simplify right side
    8,234.76x = 40,815,079.54
  5. Step 5: Solve for x
    x = 40,815,079.54/8,234.76
  6. Step 6: Final answer
    x = 4,956.44

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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.