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Finding the Fourth Proportional to 11,806.56, 17,701.17 and 5,563.05

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Solution

The fourth proportional to 11,806.56, 17,701.17 and 5,563.05 is: 8,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.56 : 17,701.17 = 5,563.05 : x
  2. Step 2: Convert to fraction form
    11,806.56/17,701.17 = 5,563.05/x
  3. Step 3: Cross multiply
    11,806.56x = 17,701.17 × 5,563.05
  4. Step 4: Simplify right side
    11,806.56x = 98,472,493.77
  5. Step 5: Solve for x
    x = 98,472,493.77/11,806.56
  6. Step 6: Final answer
    x = 8,340.49

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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.