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Finding the Fourth Proportional to 11,940.80, 16,478.52 and 6,635.84

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Solution

The fourth proportional to 11,940.80, 16,478.52 and 6,635.84 is: 9,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.80 : 16,478.52 = 6,635.84 : x
  2. Step 2: Convert to fraction form
    11,940.80/16,478.52 = 6,635.84/x
  3. Step 3: Cross multiply
    11,940.80x = 16,478.52 × 6,635.84
  4. Step 4: Simplify right side
    11,940.80x = 109,348,822.16
  5. Step 5: Solve for x
    x = 109,348,822.16/11,940.80
  6. Step 6: Final answer
    x = 9,157.58

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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.