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Finding the Fourth Proportional to 11,480.14, 17,217.92 and 3,158

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Solution

The fourth proportional to 11,480.14, 17,217.92 and 3,158 is: 4,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.14 : 17,217.92 = 3,158 : x
  2. Step 2: Convert to fraction form
    11,480.14/17,217.92 = 3,158/x
  3. Step 3: Cross multiply
    11,480.14x = 17,217.92 × 3,158
  4. Step 4: Simplify right side
    11,480.14x = 54,374,191.36
  5. Step 5: Solve for x
    x = 54,374,191.36/11,480.14
  6. Step 6: Final answer
    x = 4,736.37

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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.