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Finding the Fourth Proportional to 7,576, 11,356.44 and 3,195.88

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Solution

The fourth proportional to 7,576, 11,356.44 and 3,195.88 is: 4,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576 : 11,356.44 = 3,195.88 : x
  2. Step 2: Convert to fraction form
    7,576/11,356.44 = 3,195.88/x
  3. Step 3: Cross multiply
    7,576x = 11,356.44 × 3,195.88
  4. Step 4: Simplify right side
    7,576x = 36,293,819.47
  5. Step 5: Solve for x
    x = 36,293,819.47/7,576
  6. Step 6: Final answer
    x = 4,790.63

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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.