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Finding the Fourth Proportional to 11,296.37, 15,589.38 and 6,819.24

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Solution

The fourth proportional to 11,296.37, 15,589.38 and 6,819.24 is: 9,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.37 : 15,589.38 = 6,819.24 : x
  2. Step 2: Convert to fraction form
    11,296.37/15,589.38 = 6,819.24/x
  3. Step 3: Cross multiply
    11,296.37x = 15,589.38 × 6,819.24
  4. Step 4: Simplify right side
    11,296.37x = 106,307,723.67
  5. Step 5: Solve for x
    x = 106,307,723.67/11,296.37
  6. Step 6: Final answer
    x = 9,410.79

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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.