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Finding the Fourth Proportional to 6,100.69, 8,424.93 and 5,211.31

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Solution

The fourth proportional to 6,100.69, 8,424.93 and 5,211.31 is: 7,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.69 : 8,424.93 = 5,211.31 : x
  2. Step 2: Convert to fraction form
    6,100.69/8,424.93 = 5,211.31/x
  3. Step 3: Cross multiply
    6,100.69x = 8,424.93 × 5,211.31
  4. Step 4: Simplify right side
    6,100.69x = 43,904,921.96
  5. Step 5: Solve for x
    x = 43,904,921.96/6,100.69
  6. Step 6: Final answer
    x = 7,196.71

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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.