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Finding the Fourth Proportional to 11,927.64, 17,892.27 and 3,162.27

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Solution

The fourth proportional to 11,927.64, 17,892.27 and 3,162.27 is: 4,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.64 : 17,892.27 = 3,162.27 : x
  2. Step 2: Convert to fraction form
    11,927.64/17,892.27 = 3,162.27/x
  3. Step 3: Cross multiply
    11,927.64x = 17,892.27 × 3,162.27
  4. Step 4: Simplify right side
    11,927.64x = 56,580,188.65
  5. Step 5: Solve for x
    x = 56,580,188.65/11,927.64
  6. Step 6: Final answer
    x = 4,743.62

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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.