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Finding the Fourth Proportional to 11,794, 17,690.62 and 4,002.88

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Solution

The fourth proportional to 11,794, 17,690.62 and 4,002.88 is: 6,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794 : 17,690.62 = 4,002.88 : x
  2. Step 2: Convert to fraction form
    11,794/17,690.62 = 4,002.88/x
  3. Step 3: Cross multiply
    11,794x = 17,690.62 × 4,002.88
  4. Step 4: Simplify right side
    11,794x = 70,813,428.99
  5. Step 5: Solve for x
    x = 70,813,428.99/11,794
  6. Step 6: Final answer
    x = 6,004.19

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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.