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Finding the Fourth Proportional to 13,253.94, 18,283.41 and 7,945.38

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Solution

The fourth proportional to 13,253.94, 18,283.41 and 7,945.38 is: 10,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.94 : 18,283.41 = 7,945.38 : x
  2. Step 2: Convert to fraction form
    13,253.94/18,283.41 = 7,945.38/x
  3. Step 3: Cross multiply
    13,253.94x = 18,283.41 × 7,945.38
  4. Step 4: Simplify right side
    13,253.94x = 145,268,640.15
  5. Step 5: Solve for x
    x = 145,268,640.15/13,253.94
  6. Step 6: Final answer
    x = 10,960.41

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Why These Related Problems?

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