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Finding the Fourth Proportional to 10,418.26, 14,377.05 and 5,942.09

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Solution

The fourth proportional to 10,418.26, 14,377.05 and 5,942.09 is: 8,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.26 : 14,377.05 = 5,942.09 : x
  2. Step 2: Convert to fraction form
    10,418.26/14,377.05 = 5,942.09/x
  3. Step 3: Cross multiply
    10,418.26x = 14,377.05 × 5,942.09
  4. Step 4: Simplify right side
    10,418.26x = 85,429,653.15
  5. Step 5: Solve for x
    x = 85,429,653.15/10,418.26
  6. Step 6: Final answer
    x = 8,199.99

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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.