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Finding the Fourth Proportional to 10,682.58, 16,026.17 and 3,286.88

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Solution

The fourth proportional to 10,682.58, 16,026.17 and 3,286.88 is: 4,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.58 : 16,026.17 = 3,286.88 : x
  2. Step 2: Convert to fraction form
    10,682.58/16,026.17 = 3,286.88/x
  3. Step 3: Cross multiply
    10,682.58x = 16,026.17 × 3,286.88
  4. Step 4: Simplify right side
    10,682.58x = 52,676,001.08
  5. Step 5: Solve for x
    x = 52,676,001.08/10,682.58
  6. Step 6: Final answer
    x = 4,931.02

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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.