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Finding the Fourth Proportional to 10,832.70, 16,249.68 and 3,042.12

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Solution

The fourth proportional to 10,832.70, 16,249.68 and 3,042.12 is: 4,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.70 : 16,249.68 = 3,042.12 : x
  2. Step 2: Convert to fraction form
    10,832.70/16,249.68 = 3,042.12/x
  3. Step 3: Cross multiply
    10,832.70x = 16,249.68 × 3,042.12
  4. Step 4: Simplify right side
    10,832.70x = 49,433,476.52
  5. Step 5: Solve for x
    x = 49,433,476.52/10,832.70
  6. Step 6: Final answer
    x = 4,563.36

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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.