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Finding the Fourth Proportional to 7,850.45, 11,774.66 and 6,542.37

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Solution

The fourth proportional to 7,850.45, 11,774.66 and 6,542.37 is: 9,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.45 : 11,774.66 = 6,542.37 : x
  2. Step 2: Convert to fraction form
    7,850.45/11,774.66 = 6,542.37/x
  3. Step 3: Cross multiply
    7,850.45x = 11,774.66 × 6,542.37
  4. Step 4: Simplify right side
    7,850.45x = 77,034,149.63
  5. Step 5: Solve for x
    x = 77,034,149.63/7,850.45
  6. Step 6: Final answer
    x = 9,812.71

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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.