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Finding the Fourth Proportional to 8,055.50, 12,080.04 and 2,507.15

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Solution

The fourth proportional to 8,055.50, 12,080.04 and 2,507.15 is: 3,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.50 : 12,080.04 = 2,507.15 : x
  2. Step 2: Convert to fraction form
    8,055.50/12,080.04 = 2,507.15/x
  3. Step 3: Cross multiply
    8,055.50x = 12,080.04 × 2,507.15
  4. Step 4: Simplify right side
    8,055.50x = 30,286,493.08
  5. Step 5: Solve for x
    x = 30,286,493.08/8,055.50
  6. Step 6: Final answer
    x = 3,759.73

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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.