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Finding the Fourth Proportional to 11,573.46, 17,363.31 and 3,782.25

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Solution

The fourth proportional to 11,573.46, 17,363.31 and 3,782.25 is: 5,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.46 : 17,363.31 = 3,782.25 : x
  2. Step 2: Convert to fraction form
    11,573.46/17,363.31 = 3,782.25/x
  3. Step 3: Cross multiply
    11,573.46x = 17,363.31 × 3,782.25
  4. Step 4: Simplify right side
    11,573.46x = 65,672,379.25
  5. Step 5: Solve for x
    x = 65,672,379.25/11,573.46
  6. Step 6: Final answer
    x = 5,674.39

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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.