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Finding the Fourth Proportional to 10,257.31, 15,388.04 and 3,238.41

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Solution

The fourth proportional to 10,257.31, 15,388.04 and 3,238.41 is: 4,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.31 : 15,388.04 = 3,238.41 : x
  2. Step 2: Convert to fraction form
    10,257.31/15,388.04 = 3,238.41/x
  3. Step 3: Cross multiply
    10,257.31x = 15,388.04 × 3,238.41
  4. Step 4: Simplify right side
    10,257.31x = 49,832,782.62
  5. Step 5: Solve for x
    x = 49,832,782.62/10,257.31
  6. Step 6: Final answer
    x = 4,858.27

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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.