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Finding the Fourth Proportional to 6,965.60, 10,451.82 and 3,268.10

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Solution

The fourth proportional to 6,965.60, 10,451.82 and 3,268.10 is: 4,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.60 : 10,451.82 = 3,268.10 : x
  2. Step 2: Convert to fraction form
    6,965.60/10,451.82 = 3,268.10/x
  3. Step 3: Cross multiply
    6,965.60x = 10,451.82 × 3,268.10
  4. Step 4: Simplify right side
    6,965.60x = 34,157,592.94
  5. Step 5: Solve for x
    x = 34,157,592.94/6,965.60
  6. Step 6: Final answer
    x = 4,903.75

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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.