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Finding the Fourth Proportional to 8,141.26, 11,234.94 and 4,415.26

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Solution

The fourth proportional to 8,141.26, 11,234.94 and 4,415.26 is: 6,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.26 : 11,234.94 = 4,415.26 : x
  2. Step 2: Convert to fraction form
    8,141.26/11,234.94 = 4,415.26/x
  3. Step 3: Cross multiply
    8,141.26x = 11,234.94 × 4,415.26
  4. Step 4: Simplify right side
    8,141.26x = 49,605,181.18
  5. Step 5: Solve for x
    x = 49,605,181.18/8,141.26
  6. Step 6: Final answer
    x = 6,093.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.