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Finding the Fourth Proportional to 8,272.94, 12,403.94 and 3,272.00

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Solution

The fourth proportional to 8,272.94, 12,403.94 and 3,272.00 is: 4,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.94 : 12,403.94 = 3,272.00 : x
  2. Step 2: Convert to fraction form
    8,272.94/12,403.94 = 3,272.00/x
  3. Step 3: Cross multiply
    8,272.94x = 12,403.94 × 3,272.00
  4. Step 4: Simplify right side
    8,272.94x = 40,585,613.30
  5. Step 5: Solve for x
    x = 40,585,613.30/8,272.94
  6. Step 6: Final answer
    x = 4,905.83

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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.