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Finding the Fourth Proportional to 7,563.66, 11,338.20 and 5,092.97

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Solution

The fourth proportional to 7,563.66, 11,338.20 and 5,092.97 is: 7,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.66 : 11,338.20 = 5,092.97 : x
  2. Step 2: Convert to fraction form
    7,563.66/11,338.20 = 5,092.97/x
  3. Step 3: Cross multiply
    7,563.66x = 11,338.20 × 5,092.97
  4. Step 4: Simplify right side
    7,563.66x = 57,745,055.76
  5. Step 5: Solve for x
    x = 57,745,055.76/7,563.66
  6. Step 6: Final answer
    x = 7,634.54

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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.