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Finding the Fourth Proportional to 6,940.60, 10,395.42 and 5,369.92

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Solution

The fourth proportional to 6,940.60, 10,395.42 and 5,369.92 is: 8,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.60 : 10,395.42 = 5,369.92 : x
  2. Step 2: Convert to fraction form
    6,940.60/10,395.42 = 5,369.92/x
  3. Step 3: Cross multiply
    6,940.60x = 10,395.42 × 5,369.92
  4. Step 4: Simplify right side
    6,940.60x = 55,822,573.77
  5. Step 5: Solve for x
    x = 55,822,573.77/6,940.60
  6. Step 6: Final answer
    x = 8,042.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.