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Finding the Fourth Proportional to 7,375.98, 10,177.71 and 4,231.56

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Solution

The fourth proportional to 7,375.98, 10,177.71 and 4,231.56 is: 5,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.98 : 10,177.71 = 4,231.56 : x
  2. Step 2: Convert to fraction form
    7,375.98/10,177.71 = 4,231.56/x
  3. Step 3: Cross multiply
    7,375.98x = 10,177.71 × 4,231.56
  4. Step 4: Simplify right side
    7,375.98x = 43,067,590.53
  5. Step 5: Solve for x
    x = 43,067,590.53/7,375.98
  6. Step 6: Final answer
    x = 5,838.90

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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.