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Finding the Fourth Proportional to 11,653.20, 17,480.34 and 3,334.44

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Solution

The fourth proportional to 11,653.20, 17,480.34 and 3,334.44 is: 5,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.20 : 17,480.34 = 3,334.44 : x
  2. Step 2: Convert to fraction form
    11,653.20/17,480.34 = 3,334.44/x
  3. Step 3: Cross multiply
    11,653.20x = 17,480.34 × 3,334.44
  4. Step 4: Simplify right side
    11,653.20x = 58,287,144.91
  5. Step 5: Solve for x
    x = 58,287,144.91/11,653.20
  6. Step 6: Final answer
    x = 5,001.81

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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.