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Finding the Fourth Proportional to 7,694.30, 11,536.76 and 3,013.44

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Solution

The fourth proportional to 7,694.30, 11,536.76 and 3,013.44 is: 4,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.30 : 11,536.76 = 3,013.44 : x
  2. Step 2: Convert to fraction form
    7,694.30/11,536.76 = 3,013.44/x
  3. Step 3: Cross multiply
    7,694.30x = 11,536.76 × 3,013.44
  4. Step 4: Simplify right side
    7,694.30x = 34,765,334.05
  5. Step 5: Solve for x
    x = 34,765,334.05/7,694.30
  6. Step 6: Final answer
    x = 4,518.32

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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.