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Finding the Fourth Proportional to 6,764.68, 10,138.50 and 3,065.80

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Solution

The fourth proportional to 6,764.68, 10,138.50 and 3,065.80 is: 4,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.68 : 10,138.50 = 3,065.80 : x
  2. Step 2: Convert to fraction form
    6,764.68/10,138.50 = 3,065.80/x
  3. Step 3: Cross multiply
    6,764.68x = 10,138.50 × 3,065.80
  4. Step 4: Simplify right side
    6,764.68x = 31,082,613.30
  5. Step 5: Solve for x
    x = 31,082,613.30/6,764.68
  6. Step 6: Final answer
    x = 4,594.84

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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.