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Finding the Fourth Proportional to 8,243.49, 12,365.81 and 3,313.13

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Solution

The fourth proportional to 8,243.49, 12,365.81 and 3,313.13 is: 4,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.49 : 12,365.81 = 3,313.13 : x
  2. Step 2: Convert to fraction form
    8,243.49/12,365.81 = 3,313.13/x
  3. Step 3: Cross multiply
    8,243.49x = 12,365.81 × 3,313.13
  4. Step 4: Simplify right side
    8,243.49x = 40,969,550.43
  5. Step 5: Solve for x
    x = 40,969,550.43/8,243.49
  6. Step 6: Final answer
    x = 4,969.93

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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.