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Finding the Fourth Proportional to 6,838.29, 10,255.01 and 3,328.29

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Solution

The fourth proportional to 6,838.29, 10,255.01 and 3,328.29 is: 4,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.29 : 10,255.01 = 3,328.29 : x
  2. Step 2: Convert to fraction form
    6,838.29/10,255.01 = 3,328.29/x
  3. Step 3: Cross multiply
    6,838.29x = 10,255.01 × 3,328.29
  4. Step 4: Simplify right side
    6,838.29x = 34,131,630.59
  5. Step 5: Solve for x
    x = 34,131,630.59/6,838.29
  6. Step 6: Final answer
    x = 4,991.25

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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.