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Finding the Fourth Proportional to 10,205.80, 15,305.10 and 3,632.20

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Solution

The fourth proportional to 10,205.80, 15,305.10 and 3,632.20 is: 5,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.80 : 15,305.10 = 3,632.20 : x
  2. Step 2: Convert to fraction form
    10,205.80/15,305.10 = 3,632.20/x
  3. Step 3: Cross multiply
    10,205.80x = 15,305.10 × 3,632.20
  4. Step 4: Simplify right side
    10,205.80x = 55,591,184.22
  5. Step 5: Solve for x
    x = 55,591,184.22/10,205.80
  6. Step 6: Final answer
    x = 5,447.02

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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.