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Finding the Fourth Proportional to 11,596.41, 15,964.31 and 11,067.48

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Solution

The fourth proportional to 11,596.41, 15,964.31 and 11,067.48 is: 15,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.41 : 15,964.31 = 11,067.48 : x
  2. Step 2: Convert to fraction form
    11,596.41/15,964.31 = 11,067.48/x
  3. Step 3: Cross multiply
    11,596.41x = 15,964.31 × 11,067.48
  4. Step 4: Simplify right side
    11,596.41x = 176,684,626.30
  5. Step 5: Solve for x
    x = 176,684,626.30/11,596.41
  6. Step 6: Final answer
    x = 15,236.15

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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.