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Finding the Fourth Proportional to 10,423.44, 14,382.09 and 5,945.49

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Solution

The fourth proportional to 10,423.44, 14,382.09 and 5,945.49 is: 8,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.44 : 14,382.09 = 5,945.49 : x
  2. Step 2: Convert to fraction form
    10,423.44/14,382.09 = 5,945.49/x
  3. Step 3: Cross multiply
    10,423.44x = 14,382.09 × 5,945.49
  4. Step 4: Simplify right side
    10,423.44x = 85,508,572.27
  5. Step 5: Solve for x
    x = 85,508,572.27/10,423.44
  6. Step 6: Final answer
    x = 8,203.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.