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Finding the Fourth Proportional to 10,205.56, 15,311.13 and 3,632.41

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Solution

The fourth proportional to 10,205.56, 15,311.13 and 3,632.41 is: 5,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.56 : 15,311.13 = 3,632.41 : x
  2. Step 2: Convert to fraction form
    10,205.56/15,311.13 = 3,632.41/x
  3. Step 3: Cross multiply
    10,205.56x = 15,311.13 × 3,632.41
  4. Step 4: Simplify right side
    10,205.56x = 55,616,301.72
  5. Step 5: Solve for x
    x = 55,616,301.72/10,205.56
  6. Step 6: Final answer
    x = 5,449.61

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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.