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Finding the Fourth Proportional to 8,441.72, 12,662.72 and 2,201.36

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Solution

The fourth proportional to 8,441.72, 12,662.72 and 2,201.36 is: 3,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.72 : 12,662.72 = 2,201.36 : x
  2. Step 2: Convert to fraction form
    8,441.72/12,662.72 = 2,201.36/x
  3. Step 3: Cross multiply
    8,441.72x = 12,662.72 × 2,201.36
  4. Step 4: Simplify right side
    8,441.72x = 27,875,130.98
  5. Step 5: Solve for x
    x = 27,875,130.98/8,441.72
  6. Step 6: Final answer
    x = 3,302.07

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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.