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Finding the Fourth Proportional to 11,937.72, 17,879.31 and 5,702.12

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Solution

The fourth proportional to 11,937.72, 17,879.31 and 5,702.12 is: 8,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.72 : 17,879.31 = 5,702.12 : x
  2. Step 2: Convert to fraction form
    11,937.72/17,879.31 = 5,702.12/x
  3. Step 3: Cross multiply
    11,937.72x = 17,879.31 × 5,702.12
  4. Step 4: Simplify right side
    11,937.72x = 101,949,971.14
  5. Step 5: Solve for x
    x = 101,949,971.14/11,937.72
  6. Step 6: Final answer
    x = 8,540.15

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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.