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Finding the Fourth Proportional to 11,797.72, 17,690.48 and 3,476.68

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Solution

The fourth proportional to 11,797.72, 17,690.48 and 3,476.68 is: 5,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.72 : 17,690.48 = 3,476.68 : x
  2. Step 2: Convert to fraction form
    11,797.72/17,690.48 = 3,476.68/x
  3. Step 3: Cross multiply
    11,797.72x = 17,690.48 × 3,476.68
  4. Step 4: Simplify right side
    11,797.72x = 61,504,138.01
  5. Step 5: Solve for x
    x = 61,504,138.01/11,797.72
  6. Step 6: Final answer
    x = 5,213.22

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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.