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Finding the Fourth Proportional to 7,940.24, 11,907.93 and 5,490.80

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Solution

The fourth proportional to 7,940.24, 11,907.93 and 5,490.80 is: 8,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.24 : 11,907.93 = 5,490.80 : x
  2. Step 2: Convert to fraction form
    7,940.24/11,907.93 = 5,490.80/x
  3. Step 3: Cross multiply
    7,940.24x = 11,907.93 × 5,490.80
  4. Step 4: Simplify right side
    7,940.24x = 65,384,103.85
  5. Step 5: Solve for x
    x = 65,384,103.85/7,940.24
  6. Step 6: Final answer
    x = 8,234.52

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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.