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Finding the Fourth Proportional to 7,744.56, 10,692.24 and 5,752.80

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Solution

The fourth proportional to 7,744.56, 10,692.24 and 5,752.80 is: 7,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.56 : 10,692.24 = 5,752.80 : x
  2. Step 2: Convert to fraction form
    7,744.56/10,692.24 = 5,752.80/x
  3. Step 3: Cross multiply
    7,744.56x = 10,692.24 × 5,752.80
  4. Step 4: Simplify right side
    7,744.56x = 61,510,318.27
  5. Step 5: Solve for x
    x = 61,510,318.27/7,744.56
  6. Step 6: Final answer
    x = 7,942.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.