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Finding the Fourth Proportional to 11,959.80, 16,504.53 and 6,654.63

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Solution

The fourth proportional to 11,959.80, 16,504.53 and 6,654.63 is: 9,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.80 : 16,504.53 = 6,654.63 : x
  2. Step 2: Convert to fraction form
    11,959.80/16,504.53 = 6,654.63/x
  3. Step 3: Cross multiply
    11,959.80x = 16,504.53 × 6,654.63
  4. Step 4: Simplify right side
    11,959.80x = 109,831,540.47
  5. Step 5: Solve for x
    x = 109,831,540.47/11,959.80
  6. Step 6: Final answer
    x = 9,183.39

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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.