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Finding the Fourth Proportional to 11,380.72, 17,078.82 and 3,985.12

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Solution

The fourth proportional to 11,380.72, 17,078.82 and 3,985.12 is: 5,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.72 : 17,078.82 = 3,985.12 : x
  2. Step 2: Convert to fraction form
    11,380.72/17,078.82 = 3,985.12/x
  3. Step 3: Cross multiply
    11,380.72x = 17,078.82 × 3,985.12
  4. Step 4: Simplify right side
    11,380.72x = 68,061,147.16
  5. Step 5: Solve for x
    x = 68,061,147.16/11,380.72
  6. Step 6: Final answer
    x = 5,980.39

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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.