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Finding the Fourth Proportional to 11,856.44, 17,791.50 and 5,283.26

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Solution

The fourth proportional to 11,856.44, 17,791.50 and 5,283.26 is: 7,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.44 : 17,791.50 = 5,283.26 : x
  2. Step 2: Convert to fraction form
    11,856.44/17,791.50 = 5,283.26/x
  3. Step 3: Cross multiply
    11,856.44x = 17,791.50 × 5,283.26
  4. Step 4: Simplify right side
    11,856.44x = 93,997,120.29
  5. Step 5: Solve for x
    x = 93,997,120.29/11,856.44
  6. Step 6: Final answer
    x = 7,927.94

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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.