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Finding the Fourth Proportional to 10,902.29, 16,354.43 and 3,504.92

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Solution

The fourth proportional to 10,902.29, 16,354.43 and 3,504.92 is: 5,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.29 : 16,354.43 = 3,504.92 : x
  2. Step 2: Convert to fraction form
    10,902.29/16,354.43 = 3,504.92/x
  3. Step 3: Cross multiply
    10,902.29x = 16,354.43 × 3,504.92
  4. Step 4: Simplify right side
    10,902.29x = 57,320,869.50
  5. Step 5: Solve for x
    x = 57,320,869.50/10,902.29
  6. Step 6: Final answer
    x = 5,257.69

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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.