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Finding the Fourth Proportional to 8,377.65, 12,563.52 and 2,452.91

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Solution

The fourth proportional to 8,377.65, 12,563.52 and 2,452.91 is: 3,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.65 : 12,563.52 = 2,452.91 : x
  2. Step 2: Convert to fraction form
    8,377.65/12,563.52 = 2,452.91/x
  3. Step 3: Cross multiply
    8,377.65x = 12,563.52 × 2,452.91
  4. Step 4: Simplify right side
    8,377.65x = 30,817,121.03
  5. Step 5: Solve for x
    x = 30,817,121.03/8,377.65
  6. Step 6: Final answer
    x = 3,678.49

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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.