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Finding the Fourth Proportional to 11,047.14, 16,564.50 and 3,649.59

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Solution

The fourth proportional to 11,047.14, 16,564.50 and 3,649.59 is: 5,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.14 : 16,564.50 = 3,649.59 : x
  2. Step 2: Convert to fraction form
    11,047.14/16,564.50 = 3,649.59/x
  3. Step 3: Cross multiply
    11,047.14x = 16,564.50 × 3,649.59
  4. Step 4: Simplify right side
    11,047.14x = 60,453,633.56
  5. Step 5: Solve for x
    x = 60,453,633.56/11,047.14
  6. Step 6: Final answer
    x = 5,472.33

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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.