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Finding the Fourth Proportional to 27,713.36, 41,560.59 and 7,986.62

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Solution

The fourth proportional to 27,713.36, 41,560.59 and 7,986.62 is: 11,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.36 : 41,560.59 = 7,986.62 : x
  2. Step 2: Convert to fraction form
    27,713.36/41,560.59 = 7,986.62/x
  3. Step 3: Cross multiply
    27,713.36x = 41,560.59 × 7,986.62
  4. Step 4: Simplify right side
    27,713.36x = 331,928,639.31
  5. Step 5: Solve for x
    x = 331,928,639.31/27,713.36
  6. Step 6: Final answer
    x = 11,977.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.