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Finding the Fourth Proportional to 8,179.38, 12,271.05 and 2,633.25

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Solution

The fourth proportional to 8,179.38, 12,271.05 and 2,633.25 is: 3,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.38 : 12,271.05 = 2,633.25 : x
  2. Step 2: Convert to fraction form
    8,179.38/12,271.05 = 2,633.25/x
  3. Step 3: Cross multiply
    8,179.38x = 12,271.05 × 2,633.25
  4. Step 4: Simplify right side
    8,179.38x = 32,312,742.41
  5. Step 5: Solve for x
    x = 32,312,742.41/8,179.38
  6. Step 6: Final answer
    x = 3,950.51

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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.