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Finding the Fourth Proportional to 11,852.44, 17,794.86 and 6,661.96

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Solution

The fourth proportional to 11,852.44, 17,794.86 and 6,661.96 is: 10,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.44 : 17,794.86 = 6,661.96 : x
  2. Step 2: Convert to fraction form
    11,852.44/17,794.86 = 6,661.96/x
  3. Step 3: Cross multiply
    11,852.44x = 17,794.86 × 6,661.96
  4. Step 4: Simplify right side
    11,852.44x = 118,548,645.53
  5. Step 5: Solve for x
    x = 118,548,645.53/11,852.44
  6. Step 6: Final answer
    x = 10,002.05

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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.