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Finding the Fourth Proportional to 10,797.86, 16,201.11 and 5,250.62

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Solution

The fourth proportional to 10,797.86, 16,201.11 and 5,250.62 is: 7,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.86 : 16,201.11 = 5,250.62 : x
  2. Step 2: Convert to fraction form
    10,797.86/16,201.11 = 5,250.62/x
  3. Step 3: Cross multiply
    10,797.86x = 16,201.11 × 5,250.62
  4. Step 4: Simplify right side
    10,797.86x = 85,065,932.38
  5. Step 5: Solve for x
    x = 85,065,932.38/10,797.86
  6. Step 6: Final answer
    x = 7,878.04

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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.