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Finding the Fourth Proportional to 11,484.54, 17,238.42 and 7,735.86

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Solution

The fourth proportional to 11,484.54, 17,238.42 and 7,735.86 is: 11,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.54 : 17,238.42 = 7,735.86 : x
  2. Step 2: Convert to fraction form
    11,484.54/17,238.42 = 7,735.86/x
  3. Step 3: Cross multiply
    11,484.54x = 17,238.42 × 7,735.86
  4. Step 4: Simplify right side
    11,484.54x = 133,354,003.74
  5. Step 5: Solve for x
    x = 133,354,003.74/11,484.54
  6. Step 6: Final answer
    x = 11,611.61

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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.