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Finding the Fourth Proportional to 6,731.60, 10,086.60 and 6,342.80

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Solution

The fourth proportional to 6,731.60, 10,086.60 and 6,342.80 is: 9,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.60 : 10,086.60 = 6,342.80 : x
  2. Step 2: Convert to fraction form
    6,731.60/10,086.60 = 6,342.80/x
  3. Step 3: Cross multiply
    6,731.60x = 10,086.60 × 6,342.80
  4. Step 4: Simplify right side
    6,731.60x = 63,977,286.48
  5. Step 5: Solve for x
    x = 63,977,286.48/6,731.60
  6. Step 6: Final answer
    x = 9,504.02

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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.