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Finding the Fourth Proportional to 6,901.94, 10,356.57 and 5,268.98

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Solution

The fourth proportional to 6,901.94, 10,356.57 and 5,268.98 is: 7,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.94 : 10,356.57 = 5,268.98 : x
  2. Step 2: Convert to fraction form
    6,901.94/10,356.57 = 5,268.98/x
  3. Step 3: Cross multiply
    6,901.94x = 10,356.57 × 5,268.98
  4. Step 4: Simplify right side
    6,901.94x = 54,568,560.20
  5. Step 5: Solve for x
    x = 54,568,560.20/6,901.94
  6. Step 6: Final answer
    x = 7,906.26

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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.