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Finding the Fourth Proportional to 8,745, 13,114.41 and 2,821.65

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Solution

The fourth proportional to 8,745, 13,114.41 and 2,821.65 is: 4,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745 : 13,114.41 = 2,821.65 : x
  2. Step 2: Convert to fraction form
    8,745/13,114.41 = 2,821.65/x
  3. Step 3: Cross multiply
    8,745x = 13,114.41 × 2,821.65
  4. Step 4: Simplify right side
    8,745x = 37,004,274.98
  5. Step 5: Solve for x
    x = 37,004,274.98/8,745
  6. Step 6: Final answer
    x = 4,231.48

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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.