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Finding the Fourth Proportional to 10,832.78, 16,253.30 and 3,813.52

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Solution

The fourth proportional to 10,832.78, 16,253.30 and 3,813.52 is: 5,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.78 : 16,253.30 = 3,813.52 : x
  2. Step 2: Convert to fraction form
    10,832.78/16,253.30 = 3,813.52/x
  3. Step 3: Cross multiply
    10,832.78x = 16,253.30 × 3,813.52
  4. Step 4: Simplify right side
    10,832.78x = 61,982,284.62
  5. Step 5: Solve for x
    x = 61,982,284.62/10,832.78
  6. Step 6: Final answer
    x = 5,721.73

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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.