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Finding the Fourth Proportional to 10,849.70, 16,264.83 and 5,649.62

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Solution

The fourth proportional to 10,849.70, 16,264.83 and 5,649.62 is: 8,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.70 : 16,264.83 = 5,649.62 : x
  2. Step 2: Convert to fraction form
    10,849.70/16,264.83 = 5,649.62/x
  3. Step 3: Cross multiply
    10,849.70x = 16,264.83 × 5,649.62
  4. Step 4: Simplify right side
    10,849.70x = 91,890,108.86
  5. Step 5: Solve for x
    x = 91,890,108.86/10,849.70
  6. Step 6: Final answer
    x = 8,469.37

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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.