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Finding the Fourth Proportional to 7,769.06, 10,727.63 and 6,333.65

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Solution

The fourth proportional to 7,769.06, 10,727.63 and 6,333.65 is: 8,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.06 : 10,727.63 = 6,333.65 : x
  2. Step 2: Convert to fraction form
    7,769.06/10,727.63 = 6,333.65/x
  3. Step 3: Cross multiply
    7,769.06x = 10,727.63 × 6,333.65
  4. Step 4: Simplify right side
    7,769.06x = 67,945,053.75
  5. Step 5: Solve for x
    x = 67,945,053.75/7,769.06
  6. Step 6: Final answer
    x = 8,745.60

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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.