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Finding the Fourth Proportional to 8,299.28, 11,455.41 and 4,944.44

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Solution

The fourth proportional to 8,299.28, 11,455.41 and 4,944.44 is: 6,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.28 : 11,455.41 = 4,944.44 : x
  2. Step 2: Convert to fraction form
    8,299.28/11,455.41 = 4,944.44/x
  3. Step 3: Cross multiply
    8,299.28x = 11,455.41 × 4,944.44
  4. Step 4: Simplify right side
    8,299.28x = 56,640,587.42
  5. Step 5: Solve for x
    x = 56,640,587.42/8,299.28
  6. Step 6: Final answer
    x = 6,824.76

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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.