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Finding the Fourth Proportional to 10,846.78, 16,270.11 and 3,825.16

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Solution

The fourth proportional to 10,846.78, 16,270.11 and 3,825.16 is: 5,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.78 : 16,270.11 = 3,825.16 : x
  2. Step 2: Convert to fraction form
    10,846.78/16,270.11 = 3,825.16/x
  3. Step 3: Cross multiply
    10,846.78x = 16,270.11 × 3,825.16
  4. Step 4: Simplify right side
    10,846.78x = 62,235,773.97
  5. Step 5: Solve for x
    x = 62,235,773.97/10,846.78
  6. Step 6: Final answer
    x = 5,737.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.