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Finding the Fourth Proportional to 10,206.93, 15,310.50 and 3,633.39

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Solution

The fourth proportional to 10,206.93, 15,310.50 and 3,633.39 is: 5,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.93 : 15,310.50 = 3,633.39 : x
  2. Step 2: Convert to fraction form
    10,206.93/15,310.50 = 3,633.39/x
  3. Step 3: Cross multiply
    10,206.93x = 15,310.50 × 3,633.39
  4. Step 4: Simplify right side
    10,206.93x = 55,629,017.60
  5. Step 5: Solve for x
    x = 55,629,017.60/10,206.93
  6. Step 6: Final answer
    x = 5,450.12

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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.