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Finding the Fourth Proportional to 11,632.38, 17,452.22 and 3,846.66

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Solution

The fourth proportional to 11,632.38, 17,452.22 and 3,846.66 is: 5,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.38 : 17,452.22 = 3,846.66 : x
  2. Step 2: Convert to fraction form
    11,632.38/17,452.22 = 3,846.66/x
  3. Step 3: Cross multiply
    11,632.38x = 17,452.22 × 3,846.66
  4. Step 4: Simplify right side
    11,632.38x = 67,132,756.59
  5. Step 5: Solve for x
    x = 67,132,756.59/11,632.38
  6. Step 6: Final answer
    x = 5,771.20

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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.