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Finding the Fourth Proportional to 11,604.25, 16,015.89 and 6,888.43

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Solution

The fourth proportional to 11,604.25, 16,015.89 and 6,888.43 is: 9,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.25 : 16,015.89 = 6,888.43 : x
  2. Step 2: Convert to fraction form
    11,604.25/16,015.89 = 6,888.43/x
  3. Step 3: Cross multiply
    11,604.25x = 16,015.89 × 6,888.43
  4. Step 4: Simplify right side
    11,604.25x = 110,324,337.15
  5. Step 5: Solve for x
    x = 110,324,337.15/11,604.25
  6. Step 6: Final answer
    x = 9,507.24

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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.