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Finding the Fourth Proportional to 11,586.44, 17,379.31 and 2,821.22

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Solution

The fourth proportional to 11,586.44, 17,379.31 and 2,821.22 is: 4,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.44 : 17,379.31 = 2,821.22 : x
  2. Step 2: Convert to fraction form
    11,586.44/17,379.31 = 2,821.22/x
  3. Step 3: Cross multiply
    11,586.44x = 17,379.31 × 2,821.22
  4. Step 4: Simplify right side
    11,586.44x = 49,030,907.46
  5. Step 5: Solve for x
    x = 49,030,907.46/11,586.44
  6. Step 6: Final answer
    x = 4,231.75

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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.