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Finding the Fourth Proportional to 8,649.36, 11,936.24 and 5,112.57

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Solution

The fourth proportional to 8,649.36, 11,936.24 and 5,112.57 is: 7,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.36 : 11,936.24 = 5,112.57 : x
  2. Step 2: Convert to fraction form
    8,649.36/11,936.24 = 5,112.57/x
  3. Step 3: Cross multiply
    8,649.36x = 11,936.24 × 5,112.57
  4. Step 4: Simplify right side
    8,649.36x = 61,024,819.39
  5. Step 5: Solve for x
    x = 61,024,819.39/8,649.36
  6. Step 6: Final answer
    x = 7,055.42

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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.