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Finding the Fourth Proportional to 6,814.65, 10,225.22 and 3,893.79

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Solution

The fourth proportional to 6,814.65, 10,225.22 and 3,893.79 is: 5,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.65 : 10,225.22 = 3,893.79 : x
  2. Step 2: Convert to fraction form
    6,814.65/10,225.22 = 3,893.79/x
  3. Step 3: Cross multiply
    6,814.65x = 10,225.22 × 3,893.79
  4. Step 4: Simplify right side
    6,814.65x = 39,814,859.38
  5. Step 5: Solve for x
    x = 39,814,859.38/6,814.65
  6. Step 6: Final answer
    x = 5,842.54

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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.