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Finding the Fourth Proportional to 7,771.50, 11,659.08 and 2,577.39

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Solution

The fourth proportional to 7,771.50, 11,659.08 and 2,577.39 is: 3,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.50 : 11,659.08 = 2,577.39 : x
  2. Step 2: Convert to fraction form
    7,771.50/11,659.08 = 2,577.39/x
  3. Step 3: Cross multiply
    7,771.50x = 11,659.08 × 2,577.39
  4. Step 4: Simplify right side
    7,771.50x = 30,049,996.20
  5. Step 5: Solve for x
    x = 30,049,996.20/7,771.50
  6. Step 6: Final answer
    x = 3,866.69

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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.