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Finding the Fourth Proportional to 7,769.60, 11,662.72 and 4,305.92

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Solution

The fourth proportional to 7,769.60, 11,662.72 and 4,305.92 is: 6,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.60 : 11,662.72 = 4,305.92 : x
  2. Step 2: Convert to fraction form
    7,769.60/11,662.72 = 4,305.92/x
  3. Step 3: Cross multiply
    7,769.60x = 11,662.72 × 4,305.92
  4. Step 4: Simplify right side
    7,769.60x = 50,218,739.30
  5. Step 5: Solve for x
    x = 50,218,739.30/7,769.60
  6. Step 6: Final answer
    x = 6,463.49

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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.