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Finding the Fourth Proportional to 11,755.90, 17,633.85 and 3,964.60

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Solution

The fourth proportional to 11,755.90, 17,633.85 and 3,964.60 is: 5,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.90 : 17,633.85 = 3,964.60 : x
  2. Step 2: Convert to fraction form
    11,755.90/17,633.85 = 3,964.60/x
  3. Step 3: Cross multiply
    11,755.90x = 17,633.85 × 3,964.60
  4. Step 4: Simplify right side
    11,755.90x = 69,911,161.71
  5. Step 5: Solve for x
    x = 69,911,161.71/11,755.90
  6. Step 6: Final answer
    x = 5,946.90

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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.