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Finding the Fourth Proportional to 11,657.30, 17,480.81 and 3,335.42

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Solution

The fourth proportional to 11,657.30, 17,480.81 and 3,335.42 is: 5,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.30 : 17,480.81 = 3,335.42 : x
  2. Step 2: Convert to fraction form
    11,657.30/17,480.81 = 3,335.42/x
  3. Step 3: Cross multiply
    11,657.30x = 17,480.81 × 3,335.42
  4. Step 4: Simplify right side
    11,657.30x = 58,305,876.57
  5. Step 5: Solve for x
    x = 58,305,876.57/11,657.30
  6. Step 6: Final answer
    x = 5,001.66

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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.