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Finding the Fourth Proportional to 6,770.75, 10,146.83 and 3,810.62

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Solution

The fourth proportional to 6,770.75, 10,146.83 and 3,810.62 is: 5,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.75 : 10,146.83 = 3,810.62 : x
  2. Step 2: Convert to fraction form
    6,770.75/10,146.83 = 3,810.62/x
  3. Step 3: Cross multiply
    6,770.75x = 10,146.83 × 3,810.62
  4. Step 4: Simplify right side
    6,770.75x = 38,665,643.55
  5. Step 5: Solve for x
    x = 38,665,643.55/6,770.75
  6. Step 6: Final answer
    x = 5,710.69

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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.