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Finding the Fourth Proportional to 11,771.77, 17,649.09 and 5,528.57

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Solution

The fourth proportional to 11,771.77, 17,649.09 and 5,528.57 is: 8,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.77 : 17,649.09 = 5,528.57 : x
  2. Step 2: Convert to fraction form
    11,771.77/17,649.09 = 5,528.57/x
  3. Step 3: Cross multiply
    11,771.77x = 17,649.09 × 5,528.57
  4. Step 4: Simplify right side
    11,771.77x = 97,574,229.50
  5. Step 5: Solve for x
    x = 97,574,229.50/11,771.77
  6. Step 6: Final answer
    x = 8,288.83

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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.