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Finding the Fourth Proportional to 8,131.56, 11,178.47 and 6,993.06

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Solution

The fourth proportional to 8,131.56, 11,178.47 and 6,993.06 is: 9,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.56 : 11,178.47 = 6,993.06 : x
  2. Step 2: Convert to fraction form
    8,131.56/11,178.47 = 6,993.06/x
  3. Step 3: Cross multiply
    8,131.56x = 11,178.47 × 6,993.06
  4. Step 4: Simplify right side
    8,131.56x = 78,171,711.42
  5. Step 5: Solve for x
    x = 78,171,711.42/8,131.56
  6. Step 6: Final answer
    x = 9,613.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.