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Finding the Fourth Proportional to 7,175.72, 10,759.16 and 2,494.64

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Solution

The fourth proportional to 7,175.72, 10,759.16 and 2,494.64 is: 3,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.72 : 10,759.16 = 2,494.64 : x
  2. Step 2: Convert to fraction form
    7,175.72/10,759.16 = 2,494.64/x
  3. Step 3: Cross multiply
    7,175.72x = 10,759.16 × 2,494.64
  4. Step 4: Simplify right side
    7,175.72x = 26,840,183.34
  5. Step 5: Solve for x
    x = 26,840,183.34/7,175.72
  6. Step 6: Final answer
    x = 3,740.42

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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.