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Finding the Fourth Proportional to 8,267.64, 12,401.43 and 3,002.64

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Solution

The fourth proportional to 8,267.64, 12,401.43 and 3,002.64 is: 4,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.64 : 12,401.43 = 3,002.64 : x
  2. Step 2: Convert to fraction form
    8,267.64/12,401.43 = 3,002.64/x
  3. Step 3: Cross multiply
    8,267.64x = 12,401.43 × 3,002.64
  4. Step 4: Simplify right side
    8,267.64x = 37,237,029.78
  5. Step 5: Solve for x
    x = 37,237,029.78/8,267.64
  6. Step 6: Final answer
    x = 4,503.95

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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.