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Finding the Fourth Proportional to 8,509.60, 12,760.01 and 3,825.61

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Solution

The fourth proportional to 8,509.60, 12,760.01 and 3,825.61 is: 5,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.60 : 12,760.01 = 3,825.61 : x
  2. Step 2: Convert to fraction form
    8,509.60/12,760.01 = 3,825.61/x
  3. Step 3: Cross multiply
    8,509.60x = 12,760.01 × 3,825.61
  4. Step 4: Simplify right side
    8,509.60x = 48,814,770.83
  5. Step 5: Solve for x
    x = 48,814,770.83/8,509.60
  6. Step 6: Final answer
    x = 5,736.44

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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.