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Finding the Fourth Proportional to 8,229.98, 12,346.91 and 2,683.35

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Solution

The fourth proportional to 8,229.98, 12,346.91 and 2,683.35 is: 4,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.98 : 12,346.91 = 2,683.35 : x
  2. Step 2: Convert to fraction form
    8,229.98/12,346.91 = 2,683.35/x
  3. Step 3: Cross multiply
    8,229.98x = 12,346.91 × 2,683.35
  4. Step 4: Simplify right side
    8,229.98x = 33,131,087.66
  5. Step 5: Solve for x
    x = 33,131,087.66/8,229.98
  6. Step 6: Final answer
    x = 4,025.66

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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.