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Finding the Fourth Proportional to 6,772.64, 10,158.96 and 2,874.32

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Solution

The fourth proportional to 6,772.64, 10,158.96 and 2,874.32 is: 4,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.64 : 10,158.96 = 2,874.32 : x
  2. Step 2: Convert to fraction form
    6,772.64/10,158.96 = 2,874.32/x
  3. Step 3: Cross multiply
    6,772.64x = 10,158.96 × 2,874.32
  4. Step 4: Simplify right side
    6,772.64x = 29,200,051.11
  5. Step 5: Solve for x
    x = 29,200,051.11/6,772.64
  6. Step 6: Final answer
    x = 4,311.47

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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.