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Finding the Fourth Proportional to 6,896.25, 10,346.42 and 3,976.65

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Solution

The fourth proportional to 6,896.25, 10,346.42 and 3,976.65 is: 5,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.25 : 10,346.42 = 3,976.65 : x
  2. Step 2: Convert to fraction form
    6,896.25/10,346.42 = 3,976.65/x
  3. Step 3: Cross multiply
    6,896.25x = 10,346.42 × 3,976.65
  4. Step 4: Simplify right side
    6,896.25x = 41,144,071.21
  5. Step 5: Solve for x
    x = 41,144,071.21/6,896.25
  6. Step 6: Final answer
    x = 5,966.15

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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.