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Finding the Fourth Proportional to 7,769.12, 10,722 and 6,524.96

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Solution

The fourth proportional to 7,769.12, 10,722 and 6,524.96 is: 9,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.12 : 10,722 = 6,524.96 : x
  2. Step 2: Convert to fraction form
    7,769.12/10,722 = 6,524.96/x
  3. Step 3: Cross multiply
    7,769.12x = 10,722 × 6,524.96
  4. Step 4: Simplify right side
    7,769.12x = 69,960,621.12
  5. Step 5: Solve for x
    x = 69,960,621.12/7,769.12
  6. Step 6: Final answer
    x = 9,004.96

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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.