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Finding the Fourth Proportional to 8,242.23, 11,379.11 and 5,414.12

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Solution

The fourth proportional to 8,242.23, 11,379.11 and 5,414.12 is: 7,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.23 : 11,379.11 = 5,414.12 : x
  2. Step 2: Convert to fraction form
    8,242.23/11,379.11 = 5,414.12/x
  3. Step 3: Cross multiply
    8,242.23x = 11,379.11 × 5,414.12
  4. Step 4: Simplify right side
    8,242.23x = 61,607,867.03
  5. Step 5: Solve for x
    x = 61,607,867.03/8,242.23
  6. Step 6: Final answer
    x = 7,474.66

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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.