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Finding the Fourth Proportional to 11,851.70, 17,777.36 and 3,086.42

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Solution

The fourth proportional to 11,851.70, 17,777.36 and 3,086.42 is: 4,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.70 : 17,777.36 = 3,086.42 : x
  2. Step 2: Convert to fraction form
    11,851.70/17,777.36 = 3,086.42/x
  3. Step 3: Cross multiply
    11,851.70x = 17,777.36 × 3,086.42
  4. Step 4: Simplify right side
    11,851.70x = 54,868,399.45
  5. Step 5: Solve for x
    x = 54,868,399.45/11,851.70
  6. Step 6: Final answer
    x = 4,629.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.