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Finding the Fourth Proportional to 11,768.32, 17,649.44 and 4,847.68

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Solution

The fourth proportional to 11,768.32, 17,649.44 and 4,847.68 is: 7,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.32 : 17,649.44 = 4,847.68 : x
  2. Step 2: Convert to fraction form
    11,768.32/17,649.44 = 4,847.68/x
  3. Step 3: Cross multiply
    11,768.32x = 17,649.44 × 4,847.68
  4. Step 4: Simplify right side
    11,768.32x = 85,558,837.30
  5. Step 5: Solve for x
    x = 85,558,837.30/11,768.32
  6. Step 6: Final answer
    x = 7,270.27

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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.