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Finding the Fourth Proportional to 7,817.98, 11,729.94 and 5,049.94

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Solution

The fourth proportional to 7,817.98, 11,729.94 and 5,049.94 is: 7,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.98 : 11,729.94 = 5,049.94 : x
  2. Step 2: Convert to fraction form
    7,817.98/11,729.94 = 5,049.94/x
  3. Step 3: Cross multiply
    7,817.98x = 11,729.94 × 5,049.94
  4. Step 4: Simplify right side
    7,817.98x = 59,235,493.20
  5. Step 5: Solve for x
    x = 59,235,493.20/7,817.98
  6. Step 6: Final answer
    x = 7,576.83

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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.