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Finding the Fourth Proportional to 7,696.93, 11,544.34 and 2,765.86

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Solution

The fourth proportional to 7,696.93, 11,544.34 and 2,765.86 is: 4,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.93 : 11,544.34 = 2,765.86 : x
  2. Step 2: Convert to fraction form
    7,696.93/11,544.34 = 2,765.86/x
  3. Step 3: Cross multiply
    7,696.93x = 11,544.34 × 2,765.86
  4. Step 4: Simplify right side
    7,696.93x = 31,930,028.23
  5. Step 5: Solve for x
    x = 31,930,028.23/7,696.93
  6. Step 6: Final answer
    x = 4,148.41

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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.