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Finding the Fourth Proportional to 7,713.26, 11,576.38 and 6,183.98

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Solution

The fourth proportional to 7,713.26, 11,576.38 and 6,183.98 is: 9,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.26 : 11,576.38 = 6,183.98 : x
  2. Step 2: Convert to fraction form
    7,713.26/11,576.38 = 6,183.98/x
  3. Step 3: Cross multiply
    7,713.26x = 11,576.38 × 6,183.98
  4. Step 4: Simplify right side
    7,713.26x = 71,588,102.39
  5. Step 5: Solve for x
    x = 71,588,102.39/7,713.26
  6. Step 6: Final answer
    x = 9,281.17

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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.