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Finding the Fourth Proportional to 10,722.80, 16,087.85 and 6,769.46

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Solution

The fourth proportional to 10,722.80, 16,087.85 and 6,769.46 is: 10,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.80 : 16,087.85 = 6,769.46 : x
  2. Step 2: Convert to fraction form
    10,722.80/16,087.85 = 6,769.46/x
  3. Step 3: Cross multiply
    10,722.80x = 16,087.85 × 6,769.46
  4. Step 4: Simplify right side
    10,722.80x = 108,906,057.06
  5. Step 5: Solve for x
    x = 108,906,057.06/10,722.80
  6. Step 6: Final answer
    x = 10,156.49

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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.