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Finding the Fourth Proportional to 6,770.64, 10,155.18 and 1,840.20

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Solution

The fourth proportional to 6,770.64, 10,155.18 and 1,840.20 is: 2,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.64 : 10,155.18 = 1,840.20 : x
  2. Step 2: Convert to fraction form
    6,770.64/10,155.18 = 1,840.20/x
  3. Step 3: Cross multiply
    6,770.64x = 10,155.18 × 1,840.20
  4. Step 4: Simplify right side
    6,770.64x = 18,687,562.24
  5. Step 5: Solve for x
    x = 18,687,562.24/6,770.64
  6. Step 6: Final answer
    x = 2,760.09

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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.