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Finding the Fourth Proportional to 11,940.71, 16,477.56 and 6,635.48

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Solution

The fourth proportional to 11,940.71, 16,477.56 and 6,635.48 is: 9,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.71 : 16,477.56 = 6,635.48 : x
  2. Step 2: Convert to fraction form
    11,940.71/16,477.56 = 6,635.48/x
  3. Step 3: Cross multiply
    11,940.71x = 16,477.56 × 6,635.48
  4. Step 4: Simplify right side
    11,940.71x = 109,336,437.44
  5. Step 5: Solve for x
    x = 109,336,437.44/11,940.71
  6. Step 6: Final answer
    x = 9,156.61

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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.