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Finding the Fourth Proportional to 10,774.92, 16,164.24 and 3,377.96

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Solution

The fourth proportional to 10,774.92, 16,164.24 and 3,377.96 is: 5,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.92 : 16,164.24 = 3,377.96 : x
  2. Step 2: Convert to fraction form
    10,774.92/16,164.24 = 3,377.96/x
  3. Step 3: Cross multiply
    10,774.92x = 16,164.24 × 3,377.96
  4. Step 4: Simplify right side
    10,774.92x = 54,602,156.15
  5. Step 5: Solve for x
    x = 54,602,156.15/10,774.92
  6. Step 6: Final answer
    x = 5,067.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.