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Finding the Fourth Proportional to 10,808.96, 16,213.46 and 4,234.32

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Solution

The fourth proportional to 10,808.96, 16,213.46 and 4,234.32 is: 6,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.96 : 16,213.46 = 4,234.32 : x
  2. Step 2: Convert to fraction form
    10,808.96/16,213.46 = 4,234.32/x
  3. Step 3: Cross multiply
    10,808.96x = 16,213.46 × 4,234.32
  4. Step 4: Simplify right side
    10,808.96x = 68,652,956.78
  5. Step 5: Solve for x
    x = 68,652,956.78/10,808.96
  6. Step 6: Final answer
    x = 6,351.49

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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.