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Finding the Fourth Proportional to 8,665.85, 13,000.84 and 2,822.45

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Solution

The fourth proportional to 8,665.85, 13,000.84 and 2,822.45 is: 4,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.85 : 13,000.84 = 2,822.45 : x
  2. Step 2: Convert to fraction form
    8,665.85/13,000.84 = 2,822.45/x
  3. Step 3: Cross multiply
    8,665.85x = 13,000.84 × 2,822.45
  4. Step 4: Simplify right side
    8,665.85x = 36,694,148.80
  5. Step 5: Solve for x
    x = 36,694,148.80/8,665.85
  6. Step 6: Final answer
    x = 4,234.34

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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.