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Finding the Fourth Proportional to 7,716.14, 11,576.04 and 2,522

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Solution

The fourth proportional to 7,716.14, 11,576.04 and 2,522 is: 3,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.14 : 11,576.04 = 2,522 : x
  2. Step 2: Convert to fraction form
    7,716.14/11,576.04 = 2,522/x
  3. Step 3: Cross multiply
    7,716.14x = 11,576.04 × 2,522
  4. Step 4: Simplify right side
    7,716.14x = 29,194,772.88
  5. Step 5: Solve for x
    x = 29,194,772.88/7,716.14
  6. Step 6: Final answer
    x = 3,783.60

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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.