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Finding the Fourth Proportional to 7,693.25, 11,540.84 and 3,012.66

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Solution

The fourth proportional to 7,693.25, 11,540.84 and 3,012.66 is: 4,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.25 : 11,540.84 = 3,012.66 : x
  2. Step 2: Convert to fraction form
    7,693.25/11,540.84 = 3,012.66/x
  3. Step 3: Cross multiply
    7,693.25x = 11,540.84 × 3,012.66
  4. Step 4: Simplify right side
    7,693.25x = 34,768,627.03
  5. Step 5: Solve for x
    x = 34,768,627.03/7,693.25
  6. Step 6: Final answer
    x = 4,519.37

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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.