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Finding the Fourth Proportional to 7,696.68, 11,543.97 and 2,765.61

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Solution

The fourth proportional to 7,696.68, 11,543.97 and 2,765.61 is: 4,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.68 : 11,543.97 = 2,765.61 : x
  2. Step 2: Convert to fraction form
    7,696.68/11,543.97 = 2,765.61/x
  3. Step 3: Cross multiply
    7,696.68x = 11,543.97 × 2,765.61
  4. Step 4: Simplify right side
    7,696.68x = 31,926,118.87
  5. Step 5: Solve for x
    x = 31,926,118.87/7,696.68
  6. Step 6: Final answer
    x = 4,148.04

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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.