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Finding the Fourth Proportional to 7,716.54, 11,575.22 and 2,451.98

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Solution

The fourth proportional to 7,716.54, 11,575.22 and 2,451.98 is: 3,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.54 : 11,575.22 = 2,451.98 : x
  2. Step 2: Convert to fraction form
    7,716.54/11,575.22 = 2,451.98/x
  3. Step 3: Cross multiply
    7,716.54x = 11,575.22 × 2,451.98
  4. Step 4: Simplify right side
    7,716.54x = 28,382,137.80
  5. Step 5: Solve for x
    x = 28,382,137.80/7,716.54
  6. Step 6: Final answer
    x = 3,678.09

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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.