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Finding the Fourth Proportional to 11,611.54, 17,416.50 and 5,042.44

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Solution

The fourth proportional to 11,611.54, 17,416.50 and 5,042.44 is: 7,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.54 : 17,416.50 = 5,042.44 : x
  2. Step 2: Convert to fraction form
    11,611.54/17,416.50 = 5,042.44/x
  3. Step 3: Cross multiply
    11,611.54x = 17,416.50 × 5,042.44
  4. Step 4: Simplify right side
    11,611.54x = 87,821,656.26
  5. Step 5: Solve for x
    x = 87,821,656.26/11,611.54
  6. Step 6: Final answer
    x = 7,563.31

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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.