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Finding the Fourth Proportional to 6,788.14, 10,168.29 and 4,006.39

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Solution

The fourth proportional to 6,788.14, 10,168.29 and 4,006.39 is: 6,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.14 : 10,168.29 = 4,006.39 : x
  2. Step 2: Convert to fraction form
    6,788.14/10,168.29 = 4,006.39/x
  3. Step 3: Cross multiply
    6,788.14x = 10,168.29 × 4,006.39
  4. Step 4: Simplify right side
    6,788.14x = 40,738,135.37
  5. Step 5: Solve for x
    x = 40,738,135.37/6,788.14
  6. Step 6: Final answer
    x = 6,001.37

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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.