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Finding the Fourth Proportional to 11,576.26, 17,364.44 and 2,811.17

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Solution

The fourth proportional to 11,576.26, 17,364.44 and 2,811.17 is: 4,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.26 : 17,364.44 = 2,811.17 : x
  2. Step 2: Convert to fraction form
    11,576.26/17,364.44 = 2,811.17/x
  3. Step 3: Cross multiply
    11,576.26x = 17,364.44 × 2,811.17
  4. Step 4: Simplify right side
    11,576.26x = 48,814,427.42
  5. Step 5: Solve for x
    x = 48,814,427.42/11,576.26
  6. Step 6: Final answer
    x = 4,216.77

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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.