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Finding the Fourth Proportional to 8,773.80, 13,164.30 and 3,229.80

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Solution

The fourth proportional to 8,773.80, 13,164.30 and 3,229.80 is: 4,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773.80 : 13,164.30 = 3,229.80 : x
  2. Step 2: Convert to fraction form
    8,773.80/13,164.30 = 3,229.80/x
  3. Step 3: Cross multiply
    8,773.80x = 13,164.30 × 3,229.80
  4. Step 4: Simplify right side
    8,773.80x = 42,518,056.14
  5. Step 5: Solve for x
    x = 42,518,056.14/8,773.80
  6. Step 6: Final answer
    x = 4,846.03

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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.