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Finding the Fourth Proportional to 6,850.41, 10,277.16 and 2,467.89

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Solution

The fourth proportional to 6,850.41, 10,277.16 and 2,467.89 is: 3,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.41 : 10,277.16 = 2,467.89 : x
  2. Step 2: Convert to fraction form
    6,850.41/10,277.16 = 2,467.89/x
  3. Step 3: Cross multiply
    6,850.41x = 10,277.16 × 2,467.89
  4. Step 4: Simplify right side
    6,850.41x = 25,362,900.39
  5. Step 5: Solve for x
    x = 25,362,900.39/6,850.41
  6. Step 6: Final answer
    x = 3,702.39

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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.