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Finding the Fourth Proportional to 6,850.88, 10,274.88 and 2,467.76

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Solution

The fourth proportional to 6,850.88, 10,274.88 and 2,467.76 is: 3,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.88 : 10,274.88 = 2,467.76 : x
  2. Step 2: Convert to fraction form
    6,850.88/10,274.88 = 2,467.76/x
  3. Step 3: Cross multiply
    6,850.88x = 10,274.88 × 2,467.76
  4. Step 4: Simplify right side
    6,850.88x = 25,355,937.87
  5. Step 5: Solve for x
    x = 25,355,937.87/6,850.88
  6. Step 6: Final answer
    x = 3,701.12

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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.