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Finding the Fourth Proportional to 7,850.85, 11,765.34 and 5,900.78

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Solution

The fourth proportional to 7,850.85, 11,765.34 and 5,900.78 is: 8,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.85 : 11,765.34 = 5,900.78 : x
  2. Step 2: Convert to fraction form
    7,850.85/11,765.34 = 5,900.78/x
  3. Step 3: Cross multiply
    7,850.85x = 11,765.34 × 5,900.78
  4. Step 4: Simplify right side
    7,850.85x = 69,424,624.14
  5. Step 5: Solve for x
    x = 69,424,624.14/7,850.85
  6. Step 6: Final answer
    x = 8,842.94

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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.