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Finding the Fourth Proportional to 8,429.50, 12,643.22 and 2,882.72

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Solution

The fourth proportional to 8,429.50, 12,643.22 and 2,882.72 is: 4,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.50 : 12,643.22 = 2,882.72 : x
  2. Step 2: Convert to fraction form
    8,429.50/12,643.22 = 2,882.72/x
  3. Step 3: Cross multiply
    8,429.50x = 12,643.22 × 2,882.72
  4. Step 4: Simplify right side
    8,429.50x = 36,446,863.16
  5. Step 5: Solve for x
    x = 36,446,863.16/8,429.50
  6. Step 6: Final answer
    x = 4,323.73

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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.