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Finding the Fourth Proportional to 6,863.09, 10,294.63 and 1,668.92

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Solution

The fourth proportional to 6,863.09, 10,294.63 and 1,668.92 is: 2,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.09 : 10,294.63 = 1,668.92 : x
  2. Step 2: Convert to fraction form
    6,863.09/10,294.63 = 1,668.92/x
  3. Step 3: Cross multiply
    6,863.09x = 10,294.63 × 1,668.92
  4. Step 4: Simplify right side
    6,863.09x = 17,180,858.25
  5. Step 5: Solve for x
    x = 17,180,858.25/6,863.09
  6. Step 6: Final answer
    x = 2,503.37

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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.