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Finding the Fourth Proportional to 11,679.36, 16,111.68 and 7,484.48

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Solution

The fourth proportional to 11,679.36, 16,111.68 and 7,484.48 is: 10,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.36 : 16,111.68 = 7,484.48 : x
  2. Step 2: Convert to fraction form
    11,679.36/16,111.68 = 7,484.48/x
  3. Step 3: Cross multiply
    11,679.36x = 16,111.68 × 7,484.48
  4. Step 4: Simplify right side
    11,679.36x = 120,587,546.73
  5. Step 5: Solve for x
    x = 120,587,546.73/11,679.36
  6. Step 6: Final answer
    x = 10,324.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.