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Finding the Fourth Proportional to 8,182.84, 12,274.70 and 2,635.78

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Solution

The fourth proportional to 8,182.84, 12,274.70 and 2,635.78 is: 3,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.84 : 12,274.70 = 2,635.78 : x
  2. Step 2: Convert to fraction form
    8,182.84/12,274.70 = 2,635.78/x
  3. Step 3: Cross multiply
    8,182.84x = 12,274.70 × 2,635.78
  4. Step 4: Simplify right side
    8,182.84x = 32,353,408.77
  5. Step 5: Solve for x
    x = 32,353,408.77/8,182.84
  6. Step 6: Final answer
    x = 3,953.81

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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.