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Finding the Fourth Proportional to 8,649.28, 11,919.36 and 6,287.68

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Solution

The fourth proportional to 8,649.28, 11,919.36 and 6,287.68 is: 8,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.28 : 11,919.36 = 6,287.68 : x
  2. Step 2: Convert to fraction form
    8,649.28/11,919.36 = 6,287.68/x
  3. Step 3: Cross multiply
    8,649.28x = 11,919.36 × 6,287.68
  4. Step 4: Simplify right side
    8,649.28x = 74,945,121.48
  5. Step 5: Solve for x
    x = 74,945,121.48/8,649.28
  6. Step 6: Final answer
    x = 8,664.90

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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.