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Finding the Fourth Proportional to 11,017.82, 15,194.16 and 7,234.31

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Solution

The fourth proportional to 11,017.82, 15,194.16 and 7,234.31 is: 9,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.82 : 15,194.16 = 7,234.31 : x
  2. Step 2: Convert to fraction form
    11,017.82/15,194.16 = 7,234.31/x
  3. Step 3: Cross multiply
    11,017.82x = 15,194.16 × 7,234.31
  4. Step 4: Simplify right side
    11,017.82x = 109,919,187.66
  5. Step 5: Solve for x
    x = 109,919,187.66/11,017.82
  6. Step 6: Final answer
    x = 9,976.50

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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.