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Finding the Fourth Proportional to 10,923, 16,382.42 and 3,525.68

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Solution

The fourth proportional to 10,923, 16,382.42 and 3,525.68 is: 5,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923 : 16,382.42 = 3,525.68 : x
  2. Step 2: Convert to fraction form
    10,923/16,382.42 = 3,525.68/x
  3. Step 3: Cross multiply
    10,923x = 16,382.42 × 3,525.68
  4. Step 4: Simplify right side
    10,923x = 57,759,170.55
  5. Step 5: Solve for x
    x = 57,759,170.55/10,923
  6. Step 6: Final answer
    x = 5,287.85

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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.