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Finding the Fourth Proportional to 8,249.85, 11,371.52 and 6,454.28

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Solution

The fourth proportional to 8,249.85, 11,371.52 and 6,454.28 is: 8,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.85 : 11,371.52 = 6,454.28 : x
  2. Step 2: Convert to fraction form
    8,249.85/11,371.52 = 6,454.28/x
  3. Step 3: Cross multiply
    8,249.85x = 11,371.52 × 6,454.28
  4. Step 4: Simplify right side
    8,249.85x = 73,395,018.67
  5. Step 5: Solve for x
    x = 73,395,018.67/8,249.85
  6. Step 6: Final answer
    x = 8,896.53

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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.