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Finding the Fourth Proportional to 11,698.92, 17,548.16 and 3,378.60

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Solution

The fourth proportional to 11,698.92, 17,548.16 and 3,378.60 is: 5,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.92 : 17,548.16 = 3,378.60 : x
  2. Step 2: Convert to fraction form
    11,698.92/17,548.16 = 3,378.60/x
  3. Step 3: Cross multiply
    11,698.92x = 17,548.16 × 3,378.60
  4. Step 4: Simplify right side
    11,698.92x = 59,288,196.48
  5. Step 5: Solve for x
    x = 59,288,196.48/11,698.92
  6. Step 6: Final answer
    x = 5,067.84

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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.