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Finding the Fourth Proportional to 10,902.95, 16,354.49 and 3,883.24

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Solution

The fourth proportional to 10,902.95, 16,354.49 and 3,883.24 is: 5,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.95 : 16,354.49 = 3,883.24 : x
  2. Step 2: Convert to fraction form
    10,902.95/16,354.49 = 3,883.24/x
  3. Step 3: Cross multiply
    10,902.95x = 16,354.49 × 3,883.24
  4. Step 4: Simplify right side
    10,902.95x = 63,508,308.56
  5. Step 5: Solve for x
    x = 63,508,308.56/10,902.95
  6. Step 6: Final answer
    x = 5,824.87

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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.