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Finding the Fourth Proportional to 6,850.68, 10,276.64 and 2,690.40

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Solution

The fourth proportional to 6,850.68, 10,276.64 and 2,690.40 is: 4,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.68 : 10,276.64 = 2,690.40 : x
  2. Step 2: Convert to fraction form
    6,850.68/10,276.64 = 2,690.40/x
  3. Step 3: Cross multiply
    6,850.68x = 10,276.64 × 2,690.40
  4. Step 4: Simplify right side
    6,850.68x = 27,648,272.26
  5. Step 5: Solve for x
    x = 27,648,272.26/6,850.68
  6. Step 6: Final answer
    x = 4,035.84

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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.