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Finding the Fourth Proportional to 8,529.68, 11,768.28 and 5,736.80

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Solution

The fourth proportional to 8,529.68, 11,768.28 and 5,736.80 is: 7,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.68 : 11,768.28 = 5,736.80 : x
  2. Step 2: Convert to fraction form
    8,529.68/11,768.28 = 5,736.80/x
  3. Step 3: Cross multiply
    8,529.68x = 11,768.28 × 5,736.80
  4. Step 4: Simplify right side
    8,529.68x = 67,512,268.70
  5. Step 5: Solve for x
    x = 67,512,268.70/8,529.68
  6. Step 6: Final answer
    x = 7,914.98

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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.