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Finding the Fourth Proportional to 11,161.52, 15,403.38 and 6,686

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Solution

The fourth proportional to 11,161.52, 15,403.38 and 6,686 is: 9,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.52 : 15,403.38 = 6,686 : x
  2. Step 2: Convert to fraction form
    11,161.52/15,403.38 = 6,686/x
  3. Step 3: Cross multiply
    11,161.52x = 15,403.38 × 6,686
  4. Step 4: Simplify right side
    11,161.52x = 102,986,998.68
  5. Step 5: Solve for x
    x = 102,986,998.68/11,161.52
  6. Step 6: Final answer
    x = 9,226.97

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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.