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Finding the Fourth Proportional to 8,682.94, 13,026.30 and 2,840.14

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Solution

The fourth proportional to 8,682.94, 13,026.30 and 2,840.14 is: 4,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.94 : 13,026.30 = 2,840.14 : x
  2. Step 2: Convert to fraction form
    8,682.94/13,026.30 = 2,840.14/x
  3. Step 3: Cross multiply
    8,682.94x = 13,026.30 × 2,840.14
  4. Step 4: Simplify right side
    8,682.94x = 36,996,515.68
  5. Step 5: Solve for x
    x = 36,996,515.68/8,682.94
  6. Step 6: Final answer
    x = 4,260.83

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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.