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Finding the Fourth Proportional to 8,219.26, 11,335.95 and 5,234.14

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Solution

The fourth proportional to 8,219.26, 11,335.95 and 5,234.14 is: 7,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.26 : 11,335.95 = 5,234.14 : x
  2. Step 2: Convert to fraction form
    8,219.26/11,335.95 = 5,234.14/x
  3. Step 3: Cross multiply
    8,219.26x = 11,335.95 × 5,234.14
  4. Step 4: Simplify right side
    8,219.26x = 59,333,949.33
  5. Step 5: Solve for x
    x = 59,333,949.33/8,219.26
  6. Step 6: Final answer
    x = 7,218.89

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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.