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Finding the Fourth Proportional to 6,759.25, 10,145.10 and 3,429.84

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Solution

The fourth proportional to 6,759.25, 10,145.10 and 3,429.84 is: 5,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.25 : 10,145.10 = 3,429.84 : x
  2. Step 2: Convert to fraction form
    6,759.25/10,145.10 = 3,429.84/x
  3. Step 3: Cross multiply
    6,759.25x = 10,145.10 × 3,429.84
  4. Step 4: Simplify right side
    6,759.25x = 34,796,069.78
  5. Step 5: Solve for x
    x = 34,796,069.78/6,759.25
  6. Step 6: Final answer
    x = 5,147.92

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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.