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Finding the Fourth Proportional to 11,797.14, 17,698.68 and 4,401.84

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Solution

The fourth proportional to 11,797.14, 17,698.68 and 4,401.84 is: 6,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.14 : 17,698.68 = 4,401.84 : x
  2. Step 2: Convert to fraction form
    11,797.14/17,698.68 = 4,401.84/x
  3. Step 3: Cross multiply
    11,797.14x = 17,698.68 × 4,401.84
  4. Step 4: Simplify right side
    11,797.14x = 77,906,757.57
  5. Step 5: Solve for x
    x = 77,906,757.57/11,797.14
  6. Step 6: Final answer
    x = 6,603.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.