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Finding the Fourth Proportional to 7,453.80, 10,286.64 and 4,469.76

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Solution

The fourth proportional to 7,453.80, 10,286.64 and 4,469.76 is: 6,168.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.80 : 10,286.64 = 4,469.76 : x
  2. Step 2: Convert to fraction form
    7,453.80/10,286.64 = 4,469.76/x
  3. Step 3: Cross multiply
    7,453.80x = 10,286.64 × 4,469.76
  4. Step 4: Simplify right side
    7,453.80x = 45,978,812.01
  5. Step 5: Solve for x
    x = 45,978,812.01/7,453.80
  6. Step 6: Final answer
    x = 6,168.51

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