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Finding the Fourth Proportional to 11,800.84, 16,286.52 and 8,257.92

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Solution

The fourth proportional to 11,800.84, 16,286.52 and 8,257.92 is: 11,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.84 : 16,286.52 = 8,257.92 : x
  2. Step 2: Convert to fraction form
    11,800.84/16,286.52 = 8,257.92/x
  3. Step 3: Cross multiply
    11,800.84x = 16,286.52 × 8,257.92
  4. Step 4: Simplify right side
    11,800.84x = 134,492,779.24
  5. Step 5: Solve for x
    x = 134,492,779.24/11,800.84
  6. Step 6: Final answer
    x = 11,396.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.