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Finding the Fourth Proportional to 11,497.82, 17,249.90 and 4,102.99

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Solution

The fourth proportional to 11,497.82, 17,249.90 and 4,102.99 is: 6,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.82 : 17,249.90 = 4,102.99 : x
  2. Step 2: Convert to fraction form
    11,497.82/17,249.90 = 4,102.99/x
  3. Step 3: Cross multiply
    11,497.82x = 17,249.90 × 4,102.99
  4. Step 4: Simplify right side
    11,497.82x = 70,776,103.56
  5. Step 5: Solve for x
    x = 70,776,103.56/11,497.82
  6. Step 6: Final answer
    x = 6,155.61

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