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Finding the Fourth Proportional to 11,419.84, 17,135.34 and 5,183.92

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Solution

The fourth proportional to 11,419.84, 17,135.34 and 5,183.92 is: 7,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.84 : 17,135.34 = 5,183.92 : x
  2. Step 2: Convert to fraction form
    11,419.84/17,135.34 = 5,183.92/x
  3. Step 3: Cross multiply
    11,419.84x = 17,135.34 × 5,183.92
  4. Step 4: Simplify right side
    11,419.84x = 88,828,231.73
  5. Step 5: Solve for x
    x = 88,828,231.73/11,419.84
  6. Step 6: Final answer
    x = 7,778.41

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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.