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Finding the Fourth Proportional to 7,696.24, 11,543.20 and 2,149

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Solution

The fourth proportional to 7,696.24, 11,543.20 and 2,149 is: 3,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.24 : 11,543.20 = 2,149 : x
  2. Step 2: Convert to fraction form
    7,696.24/11,543.20 = 2,149/x
  3. Step 3: Cross multiply
    7,696.24x = 11,543.20 × 2,149
  4. Step 4: Simplify right side
    7,696.24x = 24,806,336.80
  5. Step 5: Solve for x
    x = 24,806,336.80/7,696.24
  6. Step 6: Final answer
    x = 3,223.18

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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.