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Finding the Fourth Proportional to 8,245.12, 12,367.50 and 2,005.16

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Solution

The fourth proportional to 8,245.12, 12,367.50 and 2,005.16 is: 3,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.12 : 12,367.50 = 2,005.16 : x
  2. Step 2: Convert to fraction form
    8,245.12/12,367.50 = 2,005.16/x
  3. Step 3: Cross multiply
    8,245.12x = 12,367.50 × 2,005.16
  4. Step 4: Simplify right side
    8,245.12x = 24,798,816.30
  5. Step 5: Solve for x
    x = 24,798,816.30/8,245.12
  6. Step 6: Final answer
    x = 3,007.70

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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.