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Finding the Fourth Proportional to 11,728.89, 16,186.01 and 6,693.80

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Solution

The fourth proportional to 11,728.89, 16,186.01 and 6,693.80 is: 9,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.89 : 16,186.01 = 6,693.80 : x
  2. Step 2: Convert to fraction form
    11,728.89/16,186.01 = 6,693.80/x
  3. Step 3: Cross multiply
    11,728.89x = 16,186.01 × 6,693.80
  4. Step 4: Simplify right side
    11,728.89x = 108,345,799.34
  5. Step 5: Solve for x
    x = 108,345,799.34/11,728.89
  6. Step 6: Final answer
    x = 9,237.52

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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.