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Finding the Fourth Proportional to 8,092.05, 12,140.97 and 3,165.22

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Solution

The fourth proportional to 8,092.05, 12,140.97 and 3,165.22 is: 4,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.05 : 12,140.97 = 3,165.22 : x
  2. Step 2: Convert to fraction form
    8,092.05/12,140.97 = 3,165.22/x
  3. Step 3: Cross multiply
    8,092.05x = 12,140.97 × 3,165.22
  4. Step 4: Simplify right side
    8,092.05x = 38,428,841.06
  5. Step 5: Solve for x
    x = 38,428,841.06/8,092.05
  6. Step 6: Final answer
    x = 4,748.96

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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.