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Finding the Fourth Proportional to 11,783.67, 16,268.94 and 8,197.29

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Solution

The fourth proportional to 11,783.67, 16,268.94 and 8,197.29 is: 11,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.67 : 16,268.94 = 8,197.29 : x
  2. Step 2: Convert to fraction form
    11,783.67/16,268.94 = 8,197.29/x
  3. Step 3: Cross multiply
    11,783.67x = 16,268.94 × 8,197.29
  4. Step 4: Simplify right side
    11,783.67x = 133,361,219.17
  5. Step 5: Solve for x
    x = 133,361,219.17/11,783.67
  6. Step 6: Final answer
    x = 11,317.46

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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.