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Finding the Fourth Proportional to 11,768.25, 17,654.03 and 3,448.86

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Solution

The fourth proportional to 11,768.25, 17,654.03 and 3,448.86 is: 5,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.25 : 17,654.03 = 3,448.86 : x
  2. Step 2: Convert to fraction form
    11,768.25/17,654.03 = 3,448.86/x
  3. Step 3: Cross multiply
    11,768.25x = 17,654.03 × 3,448.86
  4. Step 4: Simplify right side
    11,768.25x = 60,886,260.66
  5. Step 5: Solve for x
    x = 60,886,260.66/11,768.25
  6. Step 6: Final answer
    x = 5,173.77

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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.