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Finding the Fourth Proportional to 8,249.25, 11,381.99 and 4,664.28

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Solution

The fourth proportional to 8,249.25, 11,381.99 and 4,664.28 is: 6,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.25 : 11,381.99 = 4,664.28 : x
  2. Step 2: Convert to fraction form
    8,249.25/11,381.99 = 4,664.28/x
  3. Step 3: Cross multiply
    8,249.25x = 11,381.99 × 4,664.28
  4. Step 4: Simplify right side
    8,249.25x = 53,088,788.32
  5. Step 5: Solve for x
    x = 53,088,788.32/8,249.25
  6. Step 6: Final answer
    x = 6,435.59

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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.