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Finding the Fourth Proportional to 7,182.70, 10,769.64 and 2,795.05

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Solution

The fourth proportional to 7,182.70, 10,769.64 and 2,795.05 is: 4,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.70 : 10,769.64 = 2,795.05 : x
  2. Step 2: Convert to fraction form
    7,182.70/10,769.64 = 2,795.05/x
  3. Step 3: Cross multiply
    7,182.70x = 10,769.64 × 2,795.05
  4. Step 4: Simplify right side
    7,182.70x = 30,101,682.28
  5. Step 5: Solve for x
    x = 30,101,682.28/7,182.70
  6. Step 6: Final answer
    x = 4,190.86

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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.