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Finding the Fourth Proportional to 7,733.71, 10,672.21 and 4,196.85

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Solution

The fourth proportional to 7,733.71, 10,672.21 and 4,196.85 is: 5,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.71 : 10,672.21 = 4,196.85 : x
  2. Step 2: Convert to fraction form
    7,733.71/10,672.21 = 4,196.85/x
  3. Step 3: Cross multiply
    7,733.71x = 10,672.21 × 4,196.85
  4. Step 4: Simplify right side
    7,733.71x = 44,789,664.54
  5. Step 5: Solve for x
    x = 44,789,664.54/7,733.71
  6. Step 6: Final answer
    x = 5,791.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.