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Finding the Fourth Proportional to 13,763.38, 18,993.72 and 7,795.03

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Solution

The fourth proportional to 13,763.38, 18,993.72 and 7,795.03 is: 10,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.38 : 18,993.72 = 7,795.03 : x
  2. Step 2: Convert to fraction form
    13,763.38/18,993.72 = 7,795.03/x
  3. Step 3: Cross multiply
    13,763.38x = 18,993.72 × 7,795.03
  4. Step 4: Simplify right side
    13,763.38x = 148,056,617.21
  5. Step 5: Solve for x
    x = 148,056,617.21/13,763.38
  6. Step 6: Final answer
    x = 10,757.29

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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.