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Finding the Fourth Proportional to 6,838.70, 10,257.68 and 1,908.23

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Solution

The fourth proportional to 6,838.70, 10,257.68 and 1,908.23 is: 2,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.70 : 10,257.68 = 1,908.23 : x
  2. Step 2: Convert to fraction form
    6,838.70/10,257.68 = 1,908.23/x
  3. Step 3: Cross multiply
    6,838.70x = 10,257.68 × 1,908.23
  4. Step 4: Simplify right side
    6,838.70x = 19,574,043.12
  5. Step 5: Solve for x
    x = 19,574,043.12/6,838.70
  6. Step 6: Final answer
    x = 2,862.25

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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.