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Finding the Fourth Proportional to 7,243.96, 10,861.86 and 2,312.44

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Solution

The fourth proportional to 7,243.96, 10,861.86 and 2,312.44 is: 3,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.96 : 10,861.86 = 2,312.44 : x
  2. Step 2: Convert to fraction form
    7,243.96/10,861.86 = 2,312.44/x
  3. Step 3: Cross multiply
    7,243.96x = 10,861.86 × 2,312.44
  4. Step 4: Simplify right side
    7,243.96x = 25,117,399.54
  5. Step 5: Solve for x
    x = 25,117,399.54/7,243.96
  6. Step 6: Final answer
    x = 3,467.36

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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.