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Finding the Fourth Proportional to 7,231.09, 10,846.94 and 2,300.22

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Solution

The fourth proportional to 7,231.09, 10,846.94 and 2,300.22 is: 3,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.09 : 10,846.94 = 2,300.22 : x
  2. Step 2: Convert to fraction form
    7,231.09/10,846.94 = 2,300.22/x
  3. Step 3: Cross multiply
    7,231.09x = 10,846.94 × 2,300.22
  4. Step 4: Simplify right side
    7,231.09x = 24,950,282.59
  5. Step 5: Solve for x
    x = 24,950,282.59/7,231.09
  6. Step 6: Final answer
    x = 3,450.42

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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.