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Finding the Fourth Proportional to 7,696.13, 11,544.74 and 2,765.79

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Solution

The fourth proportional to 7,696.13, 11,544.74 and 2,765.79 is: 4,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.13 : 11,544.74 = 2,765.79 : x
  2. Step 2: Convert to fraction form
    7,696.13/11,544.74 = 2,765.79/x
  3. Step 3: Cross multiply
    7,696.13x = 11,544.74 × 2,765.79
  4. Step 4: Simplify right side
    7,696.13x = 31,930,312.62
  5. Step 5: Solve for x
    x = 31,930,312.62/7,696.13
  6. Step 6: Final answer
    x = 4,148.88

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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.