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Finding the Fourth Proportional to 6,838.99, 10,254.97 and 3,138.03

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Solution

The fourth proportional to 6,838.99, 10,254.97 and 3,138.03 is: 4,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.99 : 10,254.97 = 3,138.03 : x
  2. Step 2: Convert to fraction form
    6,838.99/10,254.97 = 3,138.03/x
  3. Step 3: Cross multiply
    6,838.99x = 10,254.97 × 3,138.03
  4. Step 4: Simplify right side
    6,838.99x = 32,180,395.66
  5. Step 5: Solve for x
    x = 32,180,395.66/6,838.99
  6. Step 6: Final answer
    x = 4,705.43

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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.