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Finding the Fourth Proportional to 11,374.75, 17,062.17 and 3,166.75

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Solution

The fourth proportional to 11,374.75, 17,062.17 and 3,166.75 is: 4,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.75 : 17,062.17 = 3,166.75 : x
  2. Step 2: Convert to fraction form
    11,374.75/17,062.17 = 3,166.75/x
  3. Step 3: Cross multiply
    11,374.75x = 17,062.17 × 3,166.75
  4. Step 4: Simplify right side
    11,374.75x = 54,031,626.85
  5. Step 5: Solve for x
    x = 54,031,626.85/11,374.75
  6. Step 6: Final answer
    x = 4,750.14

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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.