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Finding the Fourth Proportional to 11,576.84, 17,367.66 and 4,651.34

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Solution

The fourth proportional to 11,576.84, 17,367.66 and 4,651.34 is: 6,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.84 : 17,367.66 = 4,651.34 : x
  2. Step 2: Convert to fraction form
    11,576.84/17,367.66 = 4,651.34/x
  3. Step 3: Cross multiply
    11,576.84x = 17,367.66 × 4,651.34
  4. Step 4: Simplify right side
    11,576.84x = 80,782,804.83
  5. Step 5: Solve for x
    x = 80,782,804.83/11,576.84
  6. Step 6: Final answer
    x = 6,977.97

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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.