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Finding the Fourth Proportional to 8,563.23, 12,846.83 and 3,633.08

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Solution

The fourth proportional to 8,563.23, 12,846.83 and 3,633.08 is: 5,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.23 : 12,846.83 = 3,633.08 : x
  2. Step 2: Convert to fraction form
    8,563.23/12,846.83 = 3,633.08/x
  3. Step 3: Cross multiply
    8,563.23x = 12,846.83 × 3,633.08
  4. Step 4: Simplify right side
    8,563.23x = 46,673,478.74
  5. Step 5: Solve for x
    x = 46,673,478.74/8,563.23
  6. Step 6: Final answer
    x = 5,450.45

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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.