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Finding the Fourth Proportional to 10,825.52, 16,231.74 and 4,243.88

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Solution

The fourth proportional to 10,825.52, 16,231.74 and 4,243.88 is: 6,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.52 : 16,231.74 = 4,243.88 : x
  2. Step 2: Convert to fraction form
    10,825.52/16,231.74 = 4,243.88/x
  3. Step 3: Cross multiply
    10,825.52x = 16,231.74 × 4,243.88
  4. Step 4: Simplify right side
    10,825.52x = 68,885,556.75
  5. Step 5: Solve for x
    x = 68,885,556.75/10,825.52
  6. Step 6: Final answer
    x = 6,363.26

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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.