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Finding the Fourth Proportional to 10,238.35, 15,352.05 and 3,660.96

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Solution

The fourth proportional to 10,238.35, 15,352.05 and 3,660.96 is: 5,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.35 : 15,352.05 = 3,660.96 : x
  2. Step 2: Convert to fraction form
    10,238.35/15,352.05 = 3,660.96/x
  3. Step 3: Cross multiply
    10,238.35x = 15,352.05 × 3,660.96
  4. Step 4: Simplify right side
    10,238.35x = 56,203,240.97
  5. Step 5: Solve for x
    x = 56,203,240.97/10,238.35
  6. Step 6: Final answer
    x = 5,489.48

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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.