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Finding the Fourth Proportional to 8,199.24, 12,298.86 and 3,817.98

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Solution

The fourth proportional to 8,199.24, 12,298.86 and 3,817.98 is: 5,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.24 : 12,298.86 = 3,817.98 : x
  2. Step 2: Convert to fraction form
    8,199.24/12,298.86 = 3,817.98/x
  3. Step 3: Cross multiply
    8,199.24x = 12,298.86 × 3,817.98
  4. Step 4: Simplify right side
    8,199.24x = 46,956,801.50
  5. Step 5: Solve for x
    x = 46,956,801.50/8,199.24
  6. Step 6: Final answer
    x = 5,726.97

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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.