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Finding the Fourth Proportional to 11,131.80, 15,361.85 and 6,096.33

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Solution

The fourth proportional to 11,131.80, 15,361.85 and 6,096.33 is: 8,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.80 : 15,361.85 = 6,096.33 : x
  2. Step 2: Convert to fraction form
    11,131.80/15,361.85 = 6,096.33/x
  3. Step 3: Cross multiply
    11,131.80x = 15,361.85 × 6,096.33
  4. Step 4: Simplify right side
    11,131.80x = 93,650,922.25
  5. Step 5: Solve for x
    x = 93,650,922.25/11,131.80
  6. Step 6: Final answer
    x = 8,412.92

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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.