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Finding the Fourth Proportional to 7,463.54, 10,299.27 and 4,105.81

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Solution

The fourth proportional to 7,463.54, 10,299.27 and 4,105.81 is: 5,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.54 : 10,299.27 = 4,105.81 : x
  2. Step 2: Convert to fraction form
    7,463.54/10,299.27 = 4,105.81/x
  3. Step 3: Cross multiply
    7,463.54x = 10,299.27 × 4,105.81
  4. Step 4: Simplify right side
    7,463.54x = 42,286,794.26
  5. Step 5: Solve for x
    x = 42,286,794.26/7,463.54
  6. Step 6: Final answer
    x = 5,665.78

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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.