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Finding the Fourth Proportional to 11,493, 17,236.14 and 5,249.70

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Solution

The fourth proportional to 11,493, 17,236.14 and 5,249.70 is: 7,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493 : 17,236.14 = 5,249.70 : x
  2. Step 2: Convert to fraction form
    11,493/17,236.14 = 5,249.70/x
  3. Step 3: Cross multiply
    11,493x = 17,236.14 × 5,249.70
  4. Step 4: Simplify right side
    11,493x = 90,484,564.16
  5. Step 5: Solve for x
    x = 90,484,564.16/11,493
  6. Step 6: Final answer
    x = 7,873.02

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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.