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Finding the Fourth Proportional to 6,728.98, 10,093.48 and 3,218.16

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Solution

The fourth proportional to 6,728.98, 10,093.48 and 3,218.16 is: 4,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.98 : 10,093.48 = 3,218.16 : x
  2. Step 2: Convert to fraction form
    6,728.98/10,093.48 = 3,218.16/x
  3. Step 3: Cross multiply
    6,728.98x = 10,093.48 × 3,218.16
  4. Step 4: Simplify right side
    6,728.98x = 32,482,433.60
  5. Step 5: Solve for x
    x = 32,482,433.60/6,728.98
  6. Step 6: Final answer
    x = 4,827.24

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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.