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Finding the Fourth Proportional to 7,739.69, 10,680.47 and 4,202.82

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Solution

The fourth proportional to 7,739.69, 10,680.47 and 4,202.82 is: 5,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.69 : 10,680.47 = 4,202.82 : x
  2. Step 2: Convert to fraction form
    7,739.69/10,680.47 = 4,202.82/x
  3. Step 3: Cross multiply
    7,739.69x = 10,680.47 × 4,202.82
  4. Step 4: Simplify right side
    7,739.69x = 44,888,092.93
  5. Step 5: Solve for x
    x = 44,888,092.93/7,739.69
  6. Step 6: Final answer
    x = 5,799.73

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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.