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Finding the Fourth Proportional to 8,524.06, 11,764.60 and 5,338.56

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Solution

The fourth proportional to 8,524.06, 11,764.60 and 5,338.56 is: 7,368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.06 : 11,764.60 = 5,338.56 : x
  2. Step 2: Convert to fraction form
    8,524.06/11,764.60 = 5,338.56/x
  3. Step 3: Cross multiply
    8,524.06x = 11,764.60 × 5,338.56
  4. Step 4: Simplify right side
    8,524.06x = 62,806,022.98
  5. Step 5: Solve for x
    x = 62,806,022.98/8,524.06
  6. Step 6: Final answer
    x = 7,368.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.