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Finding the Fourth Proportional to 8,199.83, 12,304.44 and 3,519.65

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Solution

The fourth proportional to 8,199.83, 12,304.44 and 3,519.65 is: 5,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.83 : 12,304.44 = 3,519.65 : x
  2. Step 2: Convert to fraction form
    8,199.83/12,304.44 = 3,519.65/x
  3. Step 3: Cross multiply
    8,199.83x = 12,304.44 × 3,519.65
  4. Step 4: Simplify right side
    8,199.83x = 43,307,353.01
  5. Step 5: Solve for x
    x = 43,307,353.01/8,199.83
  6. Step 6: Final answer
    x = 5,281.49

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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.