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Finding the Fourth Proportional to 8,811, 13,213.72 and 2,966.24

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Solution

The fourth proportional to 8,811, 13,213.72 and 2,966.24 is: 4,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811 : 13,213.72 = 2,966.24 : x
  2. Step 2: Convert to fraction form
    8,811/13,213.72 = 2,966.24/x
  3. Step 3: Cross multiply
    8,811x = 13,213.72 × 2,966.24
  4. Step 4: Simplify right side
    8,811x = 39,195,064.81
  5. Step 5: Solve for x
    x = 39,195,064.81/8,811
  6. Step 6: Final answer
    x = 4,448.42

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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.