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Finding the Fourth Proportional to 8,752.70, 13,131 and 3,205.94

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Solution

The fourth proportional to 8,752.70, 13,131 and 3,205.94 is: 4,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,752.70 : 13,131 = 3,205.94 : x
  2. Step 2: Convert to fraction form
    8,752.70/13,131 = 3,205.94/x
  3. Step 3: Cross multiply
    8,752.70x = 13,131 × 3,205.94
  4. Step 4: Simplify right side
    8,752.70x = 42,097,198.14
  5. Step 5: Solve for x
    x = 42,097,198.14/8,752.70
  6. Step 6: Final answer
    x = 4,809.62

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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.