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Finding the Fourth Proportional to 6,854.49, 10,287.27 and 3,894.75

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Solution

The fourth proportional to 6,854.49, 10,287.27 and 3,894.75 is: 5,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.49 : 10,287.27 = 3,894.75 : x
  2. Step 2: Convert to fraction form
    6,854.49/10,287.27 = 3,894.75/x
  3. Step 3: Cross multiply
    6,854.49x = 10,287.27 × 3,894.75
  4. Step 4: Simplify right side
    6,854.49x = 40,066,344.83
  5. Step 5: Solve for x
    x = 40,066,344.83/6,854.49
  6. Step 6: Final answer
    x = 5,845.27

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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.