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Finding the Fourth Proportional to 11,976.26, 16,527.26 and 6,941.44

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Solution

The fourth proportional to 11,976.26, 16,527.26 and 6,941.44 is: 9,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.26 : 16,527.26 = 6,941.44 : x
  2. Step 2: Convert to fraction form
    11,976.26/16,527.26 = 6,941.44/x
  3. Step 3: Cross multiply
    11,976.26x = 16,527.26 × 6,941.44
  4. Step 4: Simplify right side
    11,976.26x = 114,722,983.65
  5. Step 5: Solve for x
    x = 114,722,983.65/11,976.26
  6. Step 6: Final answer
    x = 9,579.20

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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.