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Finding the Fourth Proportional to 10,418.25, 14,375.92 and 8,299.18

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Solution

The fourth proportional to 10,418.25, 14,375.92 and 8,299.18 is: 11,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.25 : 14,375.92 = 8,299.18 : x
  2. Step 2: Convert to fraction form
    10,418.25/14,375.92 = 8,299.18/x
  3. Step 3: Cross multiply
    10,418.25x = 14,375.92 × 8,299.18
  4. Step 4: Simplify right side
    10,418.25x = 119,308,234.37
  5. Step 5: Solve for x
    x = 119,308,234.37/10,418.25
  6. Step 6: Final answer
    x = 11,451.85

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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.