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Finding the Fourth Proportional to 7,640.90, 11,464.26 and 3,940.77

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Solution

The fourth proportional to 7,640.90, 11,464.26 and 3,940.77 is: 5,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.90 : 11,464.26 = 3,940.77 : x
  2. Step 2: Convert to fraction form
    7,640.90/11,464.26 = 3,940.77/x
  3. Step 3: Cross multiply
    7,640.90x = 11,464.26 × 3,940.77
  4. Step 4: Simplify right side
    7,640.90x = 45,178,011.88
  5. Step 5: Solve for x
    x = 45,178,011.88/7,640.90
  6. Step 6: Final answer
    x = 5,912.66

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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.