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Finding the Fourth Proportional to 7,211.87, 10,815.63 and 3,878.07

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Solution

The fourth proportional to 7,211.87, 10,815.63 and 3,878.07 is: 5,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.87 : 10,815.63 = 3,878.07 : x
  2. Step 2: Convert to fraction form
    7,211.87/10,815.63 = 3,878.07/x
  3. Step 3: Cross multiply
    7,211.87x = 10,815.63 × 3,878.07
  4. Step 4: Simplify right side
    7,211.87x = 41,943,770.23
  5. Step 5: Solve for x
    x = 41,943,770.23/7,211.87
  6. Step 6: Final answer
    x = 5,815.94

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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.