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Finding the Fourth Proportional to 8,314.64, 12,440.67 and 4,619.52

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Solution

The fourth proportional to 8,314.64, 12,440.67 and 4,619.52 is: 6,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.64 : 12,440.67 = 4,619.52 : x
  2. Step 2: Convert to fraction form
    8,314.64/12,440.67 = 4,619.52/x
  3. Step 3: Cross multiply
    8,314.64x = 12,440.67 × 4,619.52
  4. Step 4: Simplify right side
    8,314.64x = 57,469,923.88
  5. Step 5: Solve for x
    x = 57,469,923.88/8,314.64
  6. Step 6: Final answer
    x = 6,911.90

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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.