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Finding the Fourth Proportional to 11,268, 16,909.68 and 3,972

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Solution

The fourth proportional to 11,268, 16,909.68 and 3,972 is: 5,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,268 : 16,909.68 = 3,972 : x
  2. Step 2: Convert to fraction form
    11,268/16,909.68 = 3,972/x
  3. Step 3: Cross multiply
    11,268x = 16,909.68 × 3,972
  4. Step 4: Simplify right side
    11,268x = 67,165,248.96
  5. Step 5: Solve for x
    x = 67,165,248.96/11,268
  6. Step 6: Final answer
    x = 5,960.71

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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.