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Finding the Fourth Proportional to 7,936.24, 10,872.50 and 7,640.80

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Solution

The fourth proportional to 7,936.24, 10,872.50 and 7,640.80 is: 10,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.24 : 10,872.50 = 7,640.80 : x
  2. Step 2: Convert to fraction form
    7,936.24/10,872.50 = 7,640.80/x
  3. Step 3: Cross multiply
    7,936.24x = 10,872.50 × 7,640.80
  4. Step 4: Simplify right side
    7,936.24x = 83,074,598
  5. Step 5: Solve for x
    x = 83,074,598/7,936.24
  6. Step 6: Final answer
    x = 10,467.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.