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Finding the Fourth Proportional to 6,791.56, 10,177.93 and 4,902.38

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Solution

The fourth proportional to 6,791.56, 10,177.93 and 4,902.38 is: 7,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.56 : 10,177.93 = 4,902.38 : x
  2. Step 2: Convert to fraction form
    6,791.56/10,177.93 = 4,902.38/x
  3. Step 3: Cross multiply
    6,791.56x = 10,177.93 × 4,902.38
  4. Step 4: Simplify right side
    6,791.56x = 49,896,080.47
  5. Step 5: Solve for x
    x = 49,896,080.47/6,791.56
  6. Step 6: Final answer
    x = 7,346.78

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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.