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Finding the Fourth Proportional to 11,612.36, 17,424.54 and 5,768.84

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Solution

The fourth proportional to 11,612.36, 17,424.54 and 5,768.84 is: 8,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.36 : 17,424.54 = 5,768.84 : x
  2. Step 2: Convert to fraction form
    11,612.36/17,424.54 = 5,768.84/x
  3. Step 3: Cross multiply
    11,612.36x = 17,424.54 × 5,768.84
  4. Step 4: Simplify right side
    11,612.36x = 100,519,383.33
  5. Step 5: Solve for x
    x = 100,519,383.33/11,612.36
  6. Step 6: Final answer
    x = 8,656.24

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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.