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Finding the Fourth Proportional to 10,682.92, 16,023.17 and 2,892.34

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Solution

The fourth proportional to 10,682.92, 16,023.17 and 2,892.34 is: 4,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.92 : 16,023.17 = 2,892.34 : x
  2. Step 2: Convert to fraction form
    10,682.92/16,023.17 = 2,892.34/x
  3. Step 3: Cross multiply
    10,682.92x = 16,023.17 × 2,892.34
  4. Step 4: Simplify right side
    10,682.92x = 46,344,441.06
  5. Step 5: Solve for x
    x = 46,344,441.06/10,682.92
  6. Step 6: Final answer
    x = 4,338.18

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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.