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Finding the Fourth Proportional to 11,099.22, 16,640.64 and 5,249

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Solution

The fourth proportional to 11,099.22, 16,640.64 and 5,249 is: 7,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.22 : 16,640.64 = 5,249 : x
  2. Step 2: Convert to fraction form
    11,099.22/16,640.64 = 5,249/x
  3. Step 3: Cross multiply
    11,099.22x = 16,640.64 × 5,249
  4. Step 4: Simplify right side
    11,099.22x = 87,346,719.36
  5. Step 5: Solve for x
    x = 87,346,719.36/11,099.22
  6. Step 6: Final answer
    x = 7,869.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.