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Finding the Fourth Proportional to 8,977, 13,467.68 and 2,821

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Solution

The fourth proportional to 8,977, 13,467.68 and 2,821 is: 4,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977 : 13,467.68 = 2,821 : x
  2. Step 2: Convert to fraction form
    8,977/13,467.68 = 2,821/x
  3. Step 3: Cross multiply
    8,977x = 13,467.68 × 2,821
  4. Step 4: Simplify right side
    8,977x = 37,992,325.28
  5. Step 5: Solve for x
    x = 37,992,325.28/8,977
  6. Step 6: Final answer
    x = 4,232.19

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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.