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Finding the Fourth Proportional to 6,778.35, 10,169.08 and 3,081.65

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Solution

The fourth proportional to 6,778.35, 10,169.08 and 3,081.65 is: 4,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.35 : 10,169.08 = 3,081.65 : x
  2. Step 2: Convert to fraction form
    6,778.35/10,169.08 = 3,081.65/x
  3. Step 3: Cross multiply
    6,778.35x = 10,169.08 × 3,081.65
  4. Step 4: Simplify right side
    6,778.35x = 31,337,486.83
  5. Step 5: Solve for x
    x = 31,337,486.83/6,778.35
  6. Step 6: Final answer
    x = 4,623.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.