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Finding the Fourth Proportional to 11,620.52, 17,432.46 and 3,828.56

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Solution

The fourth proportional to 11,620.52, 17,432.46 and 3,828.56 is: 5,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.52 : 17,432.46 = 3,828.56 : x
  2. Step 2: Convert to fraction form
    11,620.52/17,432.46 = 3,828.56/x
  3. Step 3: Cross multiply
    11,620.52x = 17,432.46 × 3,828.56
  4. Step 4: Simplify right side
    11,620.52x = 66,741,219.06
  5. Step 5: Solve for x
    x = 66,741,219.06/11,620.52
  6. Step 6: Final answer
    x = 5,743.39

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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.