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Finding the Fourth Proportional to 11,863.25, 16,371.56 and 7,678.79

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Solution

The fourth proportional to 11,863.25, 16,371.56 and 7,678.79 is: 10,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.25 : 16,371.56 = 7,678.79 : x
  2. Step 2: Convert to fraction form
    11,863.25/16,371.56 = 7,678.79/x
  3. Step 3: Cross multiply
    11,863.25x = 16,371.56 × 7,678.79
  4. Step 4: Simplify right side
    11,863.25x = 125,713,771.21
  5. Step 5: Solve for x
    x = 125,713,771.21/11,863.25
  6. Step 6: Final answer
    x = 10,596.91

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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.