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Finding the Fourth Proportional to 8,249.18, 11,381.90 and 4,664.22

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Solution

The fourth proportional to 8,249.18, 11,381.90 and 4,664.22 is: 6,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.18 : 11,381.90 = 4,664.22 : x
  2. Step 2: Convert to fraction form
    8,249.18/11,381.90 = 4,664.22/x
  3. Step 3: Cross multiply
    8,249.18x = 11,381.90 × 4,664.22
  4. Step 4: Simplify right side
    8,249.18x = 53,087,645.85
  5. Step 5: Solve for x
    x = 53,087,645.85/8,249.18
  6. Step 6: Final answer
    x = 6,435.50

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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.