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Finding the Fourth Proportional to 7,243.60, 10,866 and 2,313.94

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Solution

The fourth proportional to 7,243.60, 10,866 and 2,313.94 is: 3,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.60 : 10,866 = 2,313.94 : x
  2. Step 2: Convert to fraction form
    7,243.60/10,866 = 2,313.94/x
  3. Step 3: Cross multiply
    7,243.60x = 10,866 × 2,313.94
  4. Step 4: Simplify right side
    7,243.60x = 25,143,272.04
  5. Step 5: Solve for x
    x = 25,143,272.04/7,243.60
  6. Step 6: Final answer
    x = 3,471.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.