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Finding the Fourth Proportional to 7,771.88, 11,658.09 and 2,577.62

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Solution

The fourth proportional to 7,771.88, 11,658.09 and 2,577.62 is: 3,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.88 : 11,658.09 = 2,577.62 : x
  2. Step 2: Convert to fraction form
    7,771.88/11,658.09 = 2,577.62/x
  3. Step 3: Cross multiply
    7,771.88x = 11,658.09 × 2,577.62
  4. Step 4: Simplify right side
    7,771.88x = 30,050,067.66
  5. Step 5: Solve for x
    x = 30,050,067.66/7,771.88
  6. Step 6: Final answer
    x = 3,866.51

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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.