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Finding the Fourth Proportional to 8,563.93, 12,846.53 and 3,633.01

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Solution

The fourth proportional to 8,563.93, 12,846.53 and 3,633.01 is: 5,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.93 : 12,846.53 = 3,633.01 : x
  2. Step 2: Convert to fraction form
    8,563.93/12,846.53 = 3,633.01/x
  3. Step 3: Cross multiply
    8,563.93x = 12,846.53 × 3,633.01
  4. Step 4: Simplify right side
    8,563.93x = 46,671,553.79
  5. Step 5: Solve for x
    x = 46,671,553.79/8,563.93
  6. Step 6: Final answer
    x = 5,449.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.