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Finding the Fourth Proportional to 11,512.96, 15,889.80 and 6,479.44

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Solution

The fourth proportional to 11,512.96, 15,889.80 and 6,479.44 is: 8,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.96 : 15,889.80 = 6,479.44 : x
  2. Step 2: Convert to fraction form
    11,512.96/15,889.80 = 6,479.44/x
  3. Step 3: Cross multiply
    11,512.96x = 15,889.80 × 6,479.44
  4. Step 4: Simplify right side
    11,512.96x = 102,957,005.71
  5. Step 5: Solve for x
    x = 102,957,005.71/11,512.96
  6. Step 6: Final answer
    x = 8,942.71

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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.