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Finding the Fourth Proportional to 11,166.26, 16,745.54 and 4,589.06

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Solution

The fourth proportional to 11,166.26, 16,745.54 and 4,589.06 is: 6,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.26 : 16,745.54 = 4,589.06 : x
  2. Step 2: Convert to fraction form
    11,166.26/16,745.54 = 4,589.06/x
  3. Step 3: Cross multiply
    11,166.26x = 16,745.54 × 4,589.06
  4. Step 4: Simplify right side
    11,166.26x = 76,846,181.12
  5. Step 5: Solve for x
    x = 76,846,181.12/11,166.26
  6. Step 6: Final answer
    x = 6,882.00

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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.