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Finding the Fourth Proportional to 12,797.25, 17,660.61 and 7,208.25

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Solution

The fourth proportional to 12,797.25, 17,660.61 and 7,208.25 is: 9,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.25 : 17,660.61 = 7,208.25 : x
  2. Step 2: Convert to fraction form
    12,797.25/17,660.61 = 7,208.25/x
  3. Step 3: Cross multiply
    12,797.25x = 17,660.61 × 7,208.25
  4. Step 4: Simplify right side
    12,797.25x = 127,302,092.03
  5. Step 5: Solve for x
    x = 127,302,092.03/12,797.25
  6. Step 6: Final answer
    x = 9,947.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.