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Finding the Fourth Proportional to 6,770.02, 10,158.06 and 4,304.20

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Solution

The fourth proportional to 6,770.02, 10,158.06 and 4,304.20 is: 6,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.02 : 10,158.06 = 4,304.20 : x
  2. Step 2: Convert to fraction form
    6,770.02/10,158.06 = 4,304.20/x
  3. Step 3: Cross multiply
    6,770.02x = 10,158.06 × 4,304.20
  4. Step 4: Simplify right side
    6,770.02x = 43,722,321.85
  5. Step 5: Solve for x
    x = 43,722,321.85/6,770.02
  6. Step 6: Final answer
    x = 6,458.23

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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.