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Finding the Fourth Proportional to 6,838.98, 10,263.09 and 2,678.47

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Solution

The fourth proportional to 6,838.98, 10,263.09 and 2,678.47 is: 4,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.98 : 10,263.09 = 2,678.47 : x
  2. Step 2: Convert to fraction form
    6,838.98/10,263.09 = 2,678.47/x
  3. Step 3: Cross multiply
    6,838.98x = 10,263.09 × 2,678.47
  4. Step 4: Simplify right side
    6,838.98x = 27,489,365.28
  5. Step 5: Solve for x
    x = 27,489,365.28/6,838.98
  6. Step 6: Final answer
    x = 4,019.51

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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.