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Finding the Fourth Proportional to 7,169.65, 10,752.68 and 2,551.57

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Solution

The fourth proportional to 7,169.65, 10,752.68 and 2,551.57 is: 3,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.65 : 10,752.68 = 2,551.57 : x
  2. Step 2: Convert to fraction form
    7,169.65/10,752.68 = 2,551.57/x
  3. Step 3: Cross multiply
    7,169.65x = 10,752.68 × 2,551.57
  4. Step 4: Simplify right side
    7,169.65x = 27,436,202.95
  5. Step 5: Solve for x
    x = 27,436,202.95/7,169.65
  6. Step 6: Final answer
    x = 3,826.71

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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.