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Finding the Fourth Proportional to 10,892.57, 16,340.98 and 3,496.46

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Solution

The fourth proportional to 10,892.57, 16,340.98 and 3,496.46 is: 5,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.57 : 16,340.98 = 3,496.46 : x
  2. Step 2: Convert to fraction form
    10,892.57/16,340.98 = 3,496.46/x
  3. Step 3: Cross multiply
    10,892.57x = 16,340.98 × 3,496.46
  4. Step 4: Simplify right side
    10,892.57x = 57,135,615.04
  5. Step 5: Solve for x
    x = 57,135,615.04/10,892.57
  6. Step 6: Final answer
    x = 5,245.37

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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.