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Finding the Fourth Proportional to 6,965.46, 10,448.26 and 5,576.99

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Solution

The fourth proportional to 6,965.46, 10,448.26 and 5,576.99 is: 8,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.46 : 10,448.26 = 5,576.99 : x
  2. Step 2: Convert to fraction form
    6,965.46/10,448.26 = 5,576.99/x
  3. Step 3: Cross multiply
    6,965.46x = 10,448.26 × 5,576.99
  4. Step 4: Simplify right side
    6,965.46x = 58,269,775.35
  5. Step 5: Solve for x
    x = 58,269,775.35/6,965.46
  6. Step 6: Final answer
    x = 8,365.53

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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.