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Finding the Fourth Proportional to 7,858.87, 11,780.97 and 5,394.85

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Solution

The fourth proportional to 7,858.87, 11,780.97 and 5,394.85 is: 8,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.87 : 11,780.97 = 5,394.85 : x
  2. Step 2: Convert to fraction form
    7,858.87/11,780.97 = 5,394.85/x
  3. Step 3: Cross multiply
    7,858.87x = 11,780.97 × 5,394.85
  4. Step 4: Simplify right side
    7,858.87x = 63,556,527.33
  5. Step 5: Solve for x
    x = 63,556,527.33/7,858.87
  6. Step 6: Final answer
    x = 8,087.24

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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.