Home / 10,923.20-16,383-4,684.22

Finding the Fourth Proportional to 10,923.20, 16,383 and 4,684.22

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Solution

The fourth proportional to 10,923.20, 16,383 and 4,684.22 is: 7,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.20 : 16,383 = 4,684.22 : x
  2. Step 2: Convert to fraction form
    10,923.20/16,383 = 4,684.22/x
  3. Step 3: Cross multiply
    10,923.20x = 16,383 × 4,684.22
  4. Step 4: Simplify right side
    10,923.20x = 76,741,576.26
  5. Step 5: Solve for x
    x = 76,741,576.26/10,923.20
  6. Step 6: Final answer
    x = 7,025.56

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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.