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Finding the Fourth Proportional to 8,369.80, 12,554.02 and 2,823.03

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Solution

The fourth proportional to 8,369.80, 12,554.02 and 2,823.03 is: 4,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.80 : 12,554.02 = 2,823.03 : x
  2. Step 2: Convert to fraction form
    8,369.80/12,554.02 = 2,823.03/x
  3. Step 3: Cross multiply
    8,369.80x = 12,554.02 × 2,823.03
  4. Step 4: Simplify right side
    8,369.80x = 35,440,375.08
  5. Step 5: Solve for x
    x = 35,440,375.08/8,369.80
  6. Step 6: Final answer
    x = 4,234.32

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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.