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Finding the Fourth Proportional to 6,940.86, 10,411.38 and 2,323.86

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Solution

The fourth proportional to 6,940.86, 10,411.38 and 2,323.86 is: 3,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.86 : 10,411.38 = 2,323.86 : x
  2. Step 2: Convert to fraction form
    6,940.86/10,411.38 = 2,323.86/x
  3. Step 3: Cross multiply
    6,940.86x = 10,411.38 × 2,323.86
  4. Step 4: Simplify right side
    6,940.86x = 24,194,589.53
  5. Step 5: Solve for x
    x = 24,194,589.53/6,940.86
  6. Step 6: Final answer
    x = 3,485.82

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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.