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Finding the Fourth Proportional to 11,299.37, 15,593.52 and 6,822.24

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Solution

The fourth proportional to 11,299.37, 15,593.52 and 6,822.24 is: 9,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.37 : 15,593.52 = 6,822.24 : x
  2. Step 2: Convert to fraction form
    11,299.37/15,593.52 = 6,822.24/x
  3. Step 3: Cross multiply
    11,299.37x = 15,593.52 × 6,822.24
  4. Step 4: Simplify right side
    11,299.37x = 106,382,735.88
  5. Step 5: Solve for x
    x = 106,382,735.88/11,299.37
  6. Step 6: Final answer
    x = 9,414.93

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