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Finding the Fourth Proportional to 12,080.56, 18,100.32 and 5,843.50

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Solution

The fourth proportional to 12,080.56, 18,100.32 and 5,843.50 is: 8,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.56 : 18,100.32 = 5,843.50 : x
  2. Step 2: Convert to fraction form
    12,080.56/18,100.32 = 5,843.50/x
  3. Step 3: Cross multiply
    12,080.56x = 18,100.32 × 5,843.50
  4. Step 4: Simplify right side
    12,080.56x = 105,769,219.92
  5. Step 5: Solve for x
    x = 105,769,219.92/12,080.56
  6. Step 6: Final answer
    x = 8,755.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.