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Finding the Fourth Proportional to 11,805.22, 17,695.68 and 5,234.50

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Solution

The fourth proportional to 11,805.22, 17,695.68 and 5,234.50 is: 7,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.22 : 17,695.68 = 5,234.50 : x
  2. Step 2: Convert to fraction form
    11,805.22/17,695.68 = 5,234.50/x
  3. Step 3: Cross multiply
    11,805.22x = 17,695.68 × 5,234.50
  4. Step 4: Simplify right side
    11,805.22x = 92,628,036.96
  5. Step 5: Solve for x
    x = 92,628,036.96/11,805.22
  6. Step 6: Final answer
    x = 7,846.36

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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.