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Finding the Fourth Proportional to 11,786.49, 16,268.82 and 7,009.82

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Solution

The fourth proportional to 11,786.49, 16,268.82 and 7,009.82 is: 9,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.49 : 16,268.82 = 7,009.82 : x
  2. Step 2: Convert to fraction form
    11,786.49/16,268.82 = 7,009.82/x
  3. Step 3: Cross multiply
    11,786.49x = 16,268.82 × 7,009.82
  4. Step 4: Simplify right side
    11,786.49x = 114,041,466.58
  5. Step 5: Solve for x
    x = 114,041,466.58/11,786.49
  6. Step 6: Final answer
    x = 9,675.61

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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.