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Finding the Fourth Proportional to 11,806.72, 16,287.03 and 7,023.26

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Solution

The fourth proportional to 11,806.72, 16,287.03 and 7,023.26 is: 9,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.72 : 16,287.03 = 7,023.26 : x
  2. Step 2: Convert to fraction form
    11,806.72/16,287.03 = 7,023.26/x
  3. Step 3: Cross multiply
    11,806.72x = 16,287.03 × 7,023.26
  4. Step 4: Simplify right side
    11,806.72x = 114,388,087.04
  5. Step 5: Solve for x
    x = 114,388,087.04/11,806.72
  6. Step 6: Final answer
    x = 9,688.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.