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Finding the Fourth Proportional to 11,774.75, 16,249.28 and 6,469.43

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Solution

The fourth proportional to 11,774.75, 16,249.28 and 6,469.43 is: 8,927.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.75 : 16,249.28 = 6,469.43 : x
  2. Step 2: Convert to fraction form
    11,774.75/16,249.28 = 6,469.43/x
  3. Step 3: Cross multiply
    11,774.75x = 16,249.28 × 6,469.43
  4. Step 4: Simplify right side
    11,774.75x = 105,123,465.92
  5. Step 5: Solve for x
    x = 105,123,465.92/11,774.75
  6. Step 6: Final answer
    x = 8,927.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.