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Finding the Fourth Proportional to 11,757.38, 16,225.60 and 6,452.24

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Solution

The fourth proportional to 11,757.38, 16,225.60 and 6,452.24 is: 8,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.38 : 16,225.60 = 6,452.24 : x
  2. Step 2: Convert to fraction form
    11,757.38/16,225.60 = 6,452.24/x
  3. Step 3: Cross multiply
    11,757.38x = 16,225.60 × 6,452.24
  4. Step 4: Simplify right side
    11,757.38x = 104,691,465.34
  5. Step 5: Solve for x
    x = 104,691,465.34/11,757.38
  6. Step 6: Final answer
    x = 8,904.32

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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.