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Finding the Fourth Proportional to 8,416.85, 12,622.50 and 2,793.23

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Solution

The fourth proportional to 8,416.85, 12,622.50 and 2,793.23 is: 4,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.85 : 12,622.50 = 2,793.23 : x
  2. Step 2: Convert to fraction form
    8,416.85/12,622.50 = 2,793.23/x
  3. Step 3: Cross multiply
    8,416.85x = 12,622.50 × 2,793.23
  4. Step 4: Simplify right side
    8,416.85x = 35,257,482.56
  5. Step 5: Solve for x
    x = 35,257,482.56/8,416.85
  6. Step 6: Final answer
    x = 4,188.92

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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.