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Finding the Fourth Proportional to 6,854.25, 10,268.13 and 4,213.99

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Solution

The fourth proportional to 6,854.25, 10,268.13 and 4,213.99 is: 6,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.25 : 10,268.13 = 4,213.99 : x
  2. Step 2: Convert to fraction form
    6,854.25/10,268.13 = 4,213.99/x
  3. Step 3: Cross multiply
    6,854.25x = 10,268.13 × 4,213.99
  4. Step 4: Simplify right side
    6,854.25x = 43,269,797.14
  5. Step 5: Solve for x
    x = 43,269,797.14/6,854.25
  6. Step 6: Final answer
    x = 6,312.84

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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.