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Finding the Fourth Proportional to 8,367, 12,547.85 and 2,819.04

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Solution

The fourth proportional to 8,367, 12,547.85 and 2,819.04 is: 4,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367 : 12,547.85 = 2,819.04 : x
  2. Step 2: Convert to fraction form
    8,367/12,547.85 = 2,819.04/x
  3. Step 3: Cross multiply
    8,367x = 12,547.85 × 2,819.04
  4. Step 4: Simplify right side
    8,367x = 35,372,891.06
  5. Step 5: Solve for x
    x = 35,372,891.06/8,367
  6. Step 6: Final answer
    x = 4,227.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.