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Finding the Fourth Proportional to 11,773.48, 16,242.18 and 7,796.20

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Solution

The fourth proportional to 11,773.48, 16,242.18 and 7,796.20 is: 10,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.48 : 16,242.18 = 7,796.20 : x
  2. Step 2: Convert to fraction form
    11,773.48/16,242.18 = 7,796.20/x
  3. Step 3: Cross multiply
    11,773.48x = 16,242.18 × 7,796.20
  4. Step 4: Simplify right side
    11,773.48x = 126,627,283.72
  5. Step 5: Solve for x
    x = 126,627,283.72/11,773.48
  6. Step 6: Final answer
    x = 10,755.30

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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.