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Finding the Fourth Proportional to 7,175.87, 10,763.19 and 2,494.68

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Solution

The fourth proportional to 7,175.87, 10,763.19 and 2,494.68 is: 3,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.87 : 10,763.19 = 2,494.68 : x
  2. Step 2: Convert to fraction form
    7,175.87/10,763.19 = 2,494.68/x
  3. Step 3: Cross multiply
    7,175.87x = 10,763.19 × 2,494.68
  4. Step 4: Simplify right side
    7,175.87x = 26,850,714.83
  5. Step 5: Solve for x
    x = 26,850,714.83/7,175.87
  6. Step 6: Final answer
    x = 3,741.81

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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.