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Finding the Fourth Proportional to 7,967.36, 11,950.84 and 2,123.96

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Solution

The fourth proportional to 7,967.36, 11,950.84 and 2,123.96 is: 3,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.36 : 11,950.84 = 2,123.96 : x
  2. Step 2: Convert to fraction form
    7,967.36/11,950.84 = 2,123.96/x
  3. Step 3: Cross multiply
    7,967.36x = 11,950.84 × 2,123.96
  4. Step 4: Simplify right side
    7,967.36x = 25,383,046.37
  5. Step 5: Solve for x
    x = 25,383,046.37/7,967.36
  6. Step 6: Final answer
    x = 3,185.88

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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.