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Finding the Fourth Proportional to 10,092.88, 15,138.36 and 3,166.16

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Solution

The fourth proportional to 10,092.88, 15,138.36 and 3,166.16 is: 4,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.88 : 15,138.36 = 3,166.16 : x
  2. Step 2: Convert to fraction form
    10,092.88/15,138.36 = 3,166.16/x
  3. Step 3: Cross multiply
    10,092.88x = 15,138.36 × 3,166.16
  4. Step 4: Simplify right side
    10,092.88x = 47,930,469.90
  5. Step 5: Solve for x
    x = 47,930,469.90/10,092.88
  6. Step 6: Final answer
    x = 4,748.94

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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.