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Finding the Fourth Proportional to 13,102.55, 18,078.71 and 7,796.33

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Solution

The fourth proportional to 13,102.55, 18,078.71 and 7,796.33 is: 10,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.55 : 18,078.71 = 7,796.33 : x
  2. Step 2: Convert to fraction form
    13,102.55/18,078.71 = 7,796.33/x
  3. Step 3: Cross multiply
    13,102.55x = 18,078.71 × 7,796.33
  4. Step 4: Simplify right side
    13,102.55x = 140,947,589.13
  5. Step 5: Solve for x
    x = 140,947,589.13/13,102.55
  6. Step 6: Final answer
    x = 10,757.26

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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.