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Finding the Fourth Proportional to 6,722.64, 10,077.92 and 3,026.88

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Solution

The fourth proportional to 6,722.64, 10,077.92 and 3,026.88 is: 4,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.64 : 10,077.92 = 3,026.88 : x
  2. Step 2: Convert to fraction form
    6,722.64/10,077.92 = 3,026.88/x
  3. Step 3: Cross multiply
    6,722.64x = 10,077.92 × 3,026.88
  4. Step 4: Simplify right side
    6,722.64x = 30,504,654.49
  5. Step 5: Solve for x
    x = 30,504,654.49/6,722.64
  6. Step 6: Final answer
    x = 4,537.60

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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.