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Finding the Fourth Proportional to 11,698.44, 17,524.52 and 6,143.46

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Solution

The fourth proportional to 11,698.44, 17,524.52 and 6,143.46 is: 9,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.44 : 17,524.52 = 6,143.46 : x
  2. Step 2: Convert to fraction form
    11,698.44/17,524.52 = 6,143.46/x
  3. Step 3: Cross multiply
    11,698.44x = 17,524.52 × 6,143.46
  4. Step 4: Simplify right side
    11,698.44x = 107,661,187.64
  5. Step 5: Solve for x
    x = 107,661,187.64/11,698.44
  6. Step 6: Final answer
    x = 9,203.04

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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.