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Finding the Fourth Proportional to 6,770.68, 10,156.08 and 1,840.30

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Solution

The fourth proportional to 6,770.68, 10,156.08 and 1,840.30 is: 2,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.68 : 10,156.08 = 1,840.30 : x
  2. Step 2: Convert to fraction form
    6,770.68/10,156.08 = 1,840.30/x
  3. Step 3: Cross multiply
    6,770.68x = 10,156.08 × 1,840.30
  4. Step 4: Simplify right side
    6,770.68x = 18,690,234.02
  5. Step 5: Solve for x
    x = 18,690,234.02/6,770.68
  6. Step 6: Final answer
    x = 2,760.47

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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.