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Finding the Fourth Proportional to 11,682.85, 17,520.32 and 3,783.23

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Solution

The fourth proportional to 11,682.85, 17,520.32 and 3,783.23 is: 5,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.85 : 17,520.32 = 3,783.23 : x
  2. Step 2: Convert to fraction form
    11,682.85/17,520.32 = 3,783.23/x
  3. Step 3: Cross multiply
    11,682.85x = 17,520.32 × 3,783.23
  4. Step 4: Simplify right side
    11,682.85x = 66,283,312.90
  5. Step 5: Solve for x
    x = 66,283,312.90/11,682.85
  6. Step 6: Final answer
    x = 5,673.56

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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.