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Finding the Fourth Proportional to 8,563.20, 12,844.80 and 3,022.80

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Solution

The fourth proportional to 8,563.20, 12,844.80 and 3,022.80 is: 4,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.20 : 12,844.80 = 3,022.80 : x
  2. Step 2: Convert to fraction form
    8,563.20/12,844.80 = 3,022.80/x
  3. Step 3: Cross multiply
    8,563.20x = 12,844.80 × 3,022.80
  4. Step 4: Simplify right side
    8,563.20x = 38,827,261.44
  5. Step 5: Solve for x
    x = 38,827,261.44/8,563.20
  6. Step 6: Final answer
    x = 4,534.20

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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.