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Finding the Fourth Proportional to 6,769.70, 10,154.55 and 5,905.70

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Solution

The fourth proportional to 6,769.70, 10,154.55 and 5,905.70 is: 8,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.70 : 10,154.55 = 5,905.70 : x
  2. Step 2: Convert to fraction form
    6,769.70/10,154.55 = 5,905.70/x
  3. Step 3: Cross multiply
    6,769.70x = 10,154.55 × 5,905.70
  4. Step 4: Simplify right side
    6,769.70x = 59,969,725.94
  5. Step 5: Solve for x
    x = 59,969,725.94/6,769.70
  6. Step 6: Final answer
    x = 8,858.55

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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.