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Finding the Fourth Proportional to 11,390.92, 17,084.46 and 3,181

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Solution

The fourth proportional to 11,390.92, 17,084.46 and 3,181 is: 4,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,390.92 : 17,084.46 = 3,181 : x
  2. Step 2: Convert to fraction form
    11,390.92/17,084.46 = 3,181/x
  3. Step 3: Cross multiply
    11,390.92x = 17,084.46 × 3,181
  4. Step 4: Simplify right side
    11,390.92x = 54,345,667.26
  5. Step 5: Solve for x
    x = 54,345,667.26/11,390.92
  6. Step 6: Final answer
    x = 4,770.96

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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.