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Finding the Fourth Proportional to 10,786.79, 14,881.50 and 7,960.83

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Solution

The fourth proportional to 10,786.79, 14,881.50 and 7,960.83 is: 10,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.79 : 14,881.50 = 7,960.83 : x
  2. Step 2: Convert to fraction form
    10,786.79/14,881.50 = 7,960.83/x
  3. Step 3: Cross multiply
    10,786.79x = 14,881.50 × 7,960.83
  4. Step 4: Simplify right side
    10,786.79x = 118,469,091.65
  5. Step 5: Solve for x
    x = 118,469,091.65/10,786.79
  6. Step 6: Final answer
    x = 10,982.80

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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.