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Finding the Fourth Proportional to 6,207.20, 8,566.16 and 3,412.80

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Solution

The fourth proportional to 6,207.20, 8,566.16 and 3,412.80 is: 4,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.20 : 8,566.16 = 3,412.80 : x
  2. Step 2: Convert to fraction form
    6,207.20/8,566.16 = 3,412.80/x
  3. Step 3: Cross multiply
    6,207.20x = 8,566.16 × 3,412.80
  4. Step 4: Simplify right side
    6,207.20x = 29,234,590.85
  5. Step 5: Solve for x
    x = 29,234,590.85/6,207.20
  6. Step 6: Final answer
    x = 4,709.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.