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Finding the Fourth Proportional to 11,659.73, 16,090.02 and 6,354.44

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Solution

The fourth proportional to 11,659.73, 16,090.02 and 6,354.44 is: 8,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.73 : 16,090.02 = 6,354.44 : x
  2. Step 2: Convert to fraction form
    11,659.73/16,090.02 = 6,354.44/x
  3. Step 3: Cross multiply
    11,659.73x = 16,090.02 × 6,354.44
  4. Step 4: Simplify right side
    11,659.73x = 102,243,066.69
  5. Step 5: Solve for x
    x = 102,243,066.69/11,659.73
  6. Step 6: Final answer
    x = 8,768.91

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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.