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Finding the Fourth Proportional to 8,054.54, 12,080.44 and 2,209.78

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Solution

The fourth proportional to 8,054.54, 12,080.44 and 2,209.78 is: 3,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.54 : 12,080.44 = 2,209.78 : x
  2. Step 2: Convert to fraction form
    8,054.54/12,080.44 = 2,209.78/x
  3. Step 3: Cross multiply
    8,054.54x = 12,080.44 × 2,209.78
  4. Step 4: Simplify right side
    8,054.54x = 26,695,132.57
  5. Step 5: Solve for x
    x = 26,695,132.57/8,054.54
  6. Step 6: Final answer
    x = 3,314.30

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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.