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Finding the Fourth Proportional to 11,863.20, 17,794.80 and 8,582.70

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Solution

The fourth proportional to 11,863.20, 17,794.80 and 8,582.70 is: 12,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.20 : 17,794.80 = 8,582.70 : x
  2. Step 2: Convert to fraction form
    11,863.20/17,794.80 = 8,582.70/x
  3. Step 3: Cross multiply
    11,863.20x = 17,794.80 × 8,582.70
  4. Step 4: Simplify right side
    11,863.20x = 152,727,429.96
  5. Step 5: Solve for x
    x = 152,727,429.96/11,863.20
  6. Step 6: Final answer
    x = 12,874.05

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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.