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Finding the Fourth Proportional to 11,782.92, 16,261.02 and 6,478.44

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Solution

The fourth proportional to 11,782.92, 16,261.02 and 6,478.44 is: 8,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.92 : 16,261.02 = 6,478.44 : x
  2. Step 2: Convert to fraction form
    11,782.92/16,261.02 = 6,478.44/x
  3. Step 3: Cross multiply
    11,782.92x = 16,261.02 × 6,478.44
  4. Step 4: Simplify right side
    11,782.92x = 105,346,042.41
  5. Step 5: Solve for x
    x = 105,346,042.41/11,782.92
  6. Step 6: Final answer
    x = 8,940.57

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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.