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Finding the Fourth Proportional to 10,900.90, 16,353.26 and 5,634.44

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Solution

The fourth proportional to 10,900.90, 16,353.26 and 5,634.44 is: 8,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.90 : 16,353.26 = 5,634.44 : x
  2. Step 2: Convert to fraction form
    10,900.90/16,353.26 = 5,634.44/x
  3. Step 3: Cross multiply
    10,900.90x = 16,353.26 × 5,634.44
  4. Step 4: Simplify right side
    10,900.90x = 92,141,462.27
  5. Step 5: Solve for x
    x = 92,141,462.27/10,900.90
  6. Step 6: Final answer
    x = 8,452.65

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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.