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Finding the Fourth Proportional to 6,769.80, 10,138.86 and 5,855.40

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Solution

The fourth proportional to 6,769.80, 10,138.86 and 5,855.40 is: 8,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.80 : 10,138.86 = 5,855.40 : x
  2. Step 2: Convert to fraction form
    6,769.80/10,138.86 = 5,855.40/x
  3. Step 3: Cross multiply
    6,769.80x = 10,138.86 × 5,855.40
  4. Step 4: Simplify right side
    6,769.80x = 59,367,080.84
  5. Step 5: Solve for x
    x = 59,367,080.84/6,769.80
  6. Step 6: Final answer
    x = 8,769.40

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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.