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Finding the Fourth Proportional to 8,193.24, 11,305.44 and 7,912.98

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Solution

The fourth proportional to 8,193.24, 11,305.44 and 7,912.98 is: 10,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.24 : 11,305.44 = 7,912.98 : x
  2. Step 2: Convert to fraction form
    8,193.24/11,305.44 = 7,912.98/x
  3. Step 3: Cross multiply
    8,193.24x = 11,305.44 × 7,912.98
  4. Step 4: Simplify right side
    8,193.24x = 89,459,720.61
  5. Step 5: Solve for x
    x = 89,459,720.61/8,193.24
  6. Step 6: Final answer
    x = 10,918.72

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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.