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Finding the Fourth Proportional to 6,838.26, 10,257.08 and 1,907.80

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Solution

The fourth proportional to 6,838.26, 10,257.08 and 1,907.80 is: 2,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.26 : 10,257.08 = 1,907.80 : x
  2. Step 2: Convert to fraction form
    6,838.26/10,257.08 = 1,907.80/x
  3. Step 3: Cross multiply
    6,838.26x = 10,257.08 × 1,907.80
  4. Step 4: Simplify right side
    6,838.26x = 19,568,457.22
  5. Step 5: Solve for x
    x = 19,568,457.22/6,838.26
  6. Step 6: Final answer
    x = 2,861.61

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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.