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Finding the Fourth Proportional to 6,896.49, 10,341.50 and 2,276.25

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Solution

The fourth proportional to 6,896.49, 10,341.50 and 2,276.25 is: 3,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.49 : 10,341.50 = 2,276.25 : x
  2. Step 2: Convert to fraction form
    6,896.49/10,341.50 = 2,276.25/x
  3. Step 3: Cross multiply
    6,896.49x = 10,341.50 × 2,276.25
  4. Step 4: Simplify right side
    6,896.49x = 23,539,827.99
  5. Step 5: Solve for x
    x = 23,539,827.99/6,896.49
  6. Step 6: Final answer
    x = 3,413.31

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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.