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Finding the Fourth Proportional to 8,564.06, 11,799.96 and 5,764.70

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Solution

The fourth proportional to 8,564.06, 11,799.96 and 5,764.70 is: 7,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.06 : 11,799.96 = 5,764.70 : x
  2. Step 2: Convert to fraction form
    8,564.06/11,799.96 = 5,764.70/x
  3. Step 3: Cross multiply
    8,564.06x = 11,799.96 × 5,764.70
  4. Step 4: Simplify right side
    8,564.06x = 68,023,229.41
  5. Step 5: Solve for x
    x = 68,023,229.41/8,564.06
  6. Step 6: Final answer
    x = 7,942.87

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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.