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Finding the Fourth Proportional to 10,813.43, 16,217.69 and 4,964.42

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Solution

The fourth proportional to 10,813.43, 16,217.69 and 4,964.42 is: 7,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.43 : 16,217.69 = 4,964.42 : x
  2. Step 2: Convert to fraction form
    10,813.43/16,217.69 = 4,964.42/x
  3. Step 3: Cross multiply
    10,813.43x = 16,217.69 × 4,964.42
  4. Step 4: Simplify right side
    10,813.43x = 80,511,318.68
  5. Step 5: Solve for x
    x = 80,511,318.68/10,813.43
  6. Step 6: Final answer
    x = 7,445.50

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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.