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Finding the Fourth Proportional to 10,940.86, 16,414.44 and 5,395.90

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Solution

The fourth proportional to 10,940.86, 16,414.44 and 5,395.90 is: 8,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.86 : 16,414.44 = 5,395.90 : x
  2. Step 2: Convert to fraction form
    10,940.86/16,414.44 = 5,395.90/x
  3. Step 3: Cross multiply
    10,940.86x = 16,414.44 × 5,395.90
  4. Step 4: Simplify right side
    10,940.86x = 88,570,676.80
  5. Step 5: Solve for x
    x = 88,570,676.80/10,940.86
  6. Step 6: Final answer
    x = 8,095.40

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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.