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Finding the Fourth Proportional to 6,894.58, 10,334.46 and 2,728.80

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Solution

The fourth proportional to 6,894.58, 10,334.46 and 2,728.80 is: 4,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.58 : 10,334.46 = 2,728.80 : x
  2. Step 2: Convert to fraction form
    6,894.58/10,334.46 = 2,728.80/x
  3. Step 3: Cross multiply
    6,894.58x = 10,334.46 × 2,728.80
  4. Step 4: Simplify right side
    6,894.58x = 28,200,647.94
  5. Step 5: Solve for x
    x = 28,200,647.94/6,894.58
  6. Step 6: Final answer
    x = 4,090.27

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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.