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Finding the Fourth Proportional to 11,698.17, 17,524.06 and 5,449.59

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Solution

The fourth proportional to 11,698.17, 17,524.06 and 5,449.59 is: 8,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.17 : 17,524.06 = 5,449.59 : x
  2. Step 2: Convert to fraction form
    11,698.17/17,524.06 = 5,449.59/x
  3. Step 3: Cross multiply
    11,698.17x = 17,524.06 × 5,449.59
  4. Step 4: Simplify right side
    11,698.17x = 95,498,931.24
  5. Step 5: Solve for x
    x = 95,498,931.24/11,698.17
  6. Step 6: Final answer
    x = 8,163.58

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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.