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Finding the Fourth Proportional to 6,801.12, 10,205.04 and 3,294.08

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Solution

The fourth proportional to 6,801.12, 10,205.04 and 3,294.08 is: 4,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.12 : 10,205.04 = 3,294.08 : x
  2. Step 2: Convert to fraction form
    6,801.12/10,205.04 = 3,294.08/x
  3. Step 3: Cross multiply
    6,801.12x = 10,205.04 × 3,294.08
  4. Step 4: Simplify right side
    6,801.12x = 33,616,218.16
  5. Step 5: Solve for x
    x = 33,616,218.16/6,801.12
  6. Step 6: Final answer
    x = 4,942.75

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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.