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Finding the Fourth Proportional to 10,206.72, 15,310.05 and 3,633.16

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Solution

The fourth proportional to 10,206.72, 15,310.05 and 3,633.16 is: 5,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.72 : 15,310.05 = 3,633.16 : x
  2. Step 2: Convert to fraction form
    10,206.72/15,310.05 = 3,633.16/x
  3. Step 3: Cross multiply
    10,206.72x = 15,310.05 × 3,633.16
  4. Step 4: Simplify right side
    10,206.72x = 55,623,861.26
  5. Step 5: Solve for x
    x = 55,623,861.26/10,206.72
  6. Step 6: Final answer
    x = 5,449.73

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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.