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Finding the Fourth Proportional to 7,942.48, 11,917.92 and 5,769.16

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Solution

The fourth proportional to 7,942.48, 11,917.92 and 5,769.16 is: 8,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.48 : 11,917.92 = 5,769.16 : x
  2. Step 2: Convert to fraction form
    7,942.48/11,917.92 = 5,769.16/x
  3. Step 3: Cross multiply
    7,942.48x = 11,917.92 × 5,769.16
  4. Step 4: Simplify right side
    7,942.48x = 68,756,387.35
  5. Step 5: Solve for x
    x = 68,756,387.35/7,942.48
  6. Step 6: Final answer
    x = 8,656.79

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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.