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Finding the Fourth Proportional to 7,696.28, 11,543.22 and 2,149.04

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Solution

The fourth proportional to 7,696.28, 11,543.22 and 2,149.04 is: 3,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.28 : 11,543.22 = 2,149.04 : x
  2. Step 2: Convert to fraction form
    7,696.28/11,543.22 = 2,149.04/x
  3. Step 3: Cross multiply
    7,696.28x = 11,543.22 × 2,149.04
  4. Step 4: Simplify right side
    7,696.28x = 24,806,841.51
  5. Step 5: Solve for x
    x = 24,806,841.51/7,696.28
  6. Step 6: Final answer
    x = 3,223.22

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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.