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Finding the Fourth Proportional to 11,922, 16,452.36 and 6,617.67

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Solution

The fourth proportional to 11,922, 16,452.36 and 6,617.67 is: 9,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922 : 16,452.36 = 6,617.67 : x
  2. Step 2: Convert to fraction form
    11,922/16,452.36 = 6,617.67/x
  3. Step 3: Cross multiply
    11,922x = 16,452.36 × 6,617.67
  4. Step 4: Simplify right side
    11,922x = 108,876,289.20
  5. Step 5: Solve for x
    x = 108,876,289.20/11,922
  6. Step 6: Final answer
    x = 9,132.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.