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Finding the Fourth Proportional to 10,223.56, 15,338.13 and 3,650.41

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Solution

The fourth proportional to 10,223.56, 15,338.13 and 3,650.41 is: 5,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.56 : 15,338.13 = 3,650.41 : x
  2. Step 2: Convert to fraction form
    10,223.56/15,338.13 = 3,650.41/x
  3. Step 3: Cross multiply
    10,223.56x = 15,338.13 × 3,650.41
  4. Step 4: Simplify right side
    10,223.56x = 55,990,463.13
  5. Step 5: Solve for x
    x = 55,990,463.13/10,223.56
  6. Step 6: Final answer
    x = 5,476.61

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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.