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Finding the Fourth Proportional to 11,831, 16,292.63 and 11,080.58

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Solution

The fourth proportional to 11,831, 16,292.63 and 11,080.58 is: 15,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831 : 16,292.63 = 11,080.58 : x
  2. Step 2: Convert to fraction form
    11,831/16,292.63 = 11,080.58/x
  3. Step 3: Cross multiply
    11,831x = 16,292.63 × 11,080.58
  4. Step 4: Simplify right side
    11,831x = 180,531,790.13
  5. Step 5: Solve for x
    x = 180,531,790.13/11,831
  6. Step 6: Final answer
    x = 15,259.22

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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.