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Finding the Fourth Proportional to 13,104.06, 18,080.78 and 7,797.84

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Solution

The fourth proportional to 13,104.06, 18,080.78 and 7,797.84 is: 10,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.06 : 18,080.78 = 7,797.84 : x
  2. Step 2: Convert to fraction form
    13,104.06/18,080.78 = 7,797.84/x
  3. Step 3: Cross multiply
    13,104.06x = 18,080.78 × 7,797.84
  4. Step 4: Simplify right side
    13,104.06x = 140,991,029.52
  5. Step 5: Solve for x
    x = 140,991,029.52/13,104.06
  6. Step 6: Final answer
    x = 10,759.34

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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.