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Finding the Fourth Proportional to 6,774.92, 10,165.60 and 2,394.44

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Solution

The fourth proportional to 6,774.92, 10,165.60 and 2,394.44 is: 3,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.92 : 10,165.60 = 2,394.44 : x
  2. Step 2: Convert to fraction form
    6,774.92/10,165.60 = 2,394.44/x
  3. Step 3: Cross multiply
    6,774.92x = 10,165.60 × 2,394.44
  4. Step 4: Simplify right side
    6,774.92x = 24,340,919.26
  5. Step 5: Solve for x
    x = 24,340,919.26/6,774.92
  6. Step 6: Final answer
    x = 3,592.80

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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.