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Finding the Fourth Proportional to 11,757.22, 16,225.21 and 6,452.38

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Solution

The fourth proportional to 11,757.22, 16,225.21 and 6,452.38 is: 8,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.22 : 16,225.21 = 6,452.38 : x
  2. Step 2: Convert to fraction form
    11,757.22/16,225.21 = 6,452.38/x
  3. Step 3: Cross multiply
    11,757.22x = 16,225.21 × 6,452.38
  4. Step 4: Simplify right side
    11,757.22x = 104,691,220.50
  5. Step 5: Solve for x
    x = 104,691,220.50/11,757.22
  6. Step 6: Final answer
    x = 8,904.42

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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.