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Finding the Fourth Proportional to 8,218.62, 12,327.30 and 3,024

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Solution

The fourth proportional to 8,218.62, 12,327.30 and 3,024 is: 4,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.62 : 12,327.30 = 3,024 : x
  2. Step 2: Convert to fraction form
    8,218.62/12,327.30 = 3,024/x
  3. Step 3: Cross multiply
    8,218.62x = 12,327.30 × 3,024
  4. Step 4: Simplify right side
    8,218.62x = 37,277,755.20
  5. Step 5: Solve for x
    x = 37,277,755.20/8,218.62
  6. Step 6: Final answer
    x = 4,535.77

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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.