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Finding the Fourth Proportional to 11,736.65, 17,599.22 and 5,806.69

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Solution

The fourth proportional to 11,736.65, 17,599.22 and 5,806.69 is: 8,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.65 : 17,599.22 = 5,806.69 : x
  2. Step 2: Convert to fraction form
    11,736.65/17,599.22 = 5,806.69/x
  3. Step 3: Cross multiply
    11,736.65x = 17,599.22 × 5,806.69
  4. Step 4: Simplify right side
    11,736.65x = 102,193,097.75
  5. Step 5: Solve for x
    x = 102,193,097.75/11,736.65
  6. Step 6: Final answer
    x = 8,707.18

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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.