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Finding the Fourth Proportional to 7,175.50, 10,763.24 and 2,555.26

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Solution

The fourth proportional to 7,175.50, 10,763.24 and 2,555.26 is: 3,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.50 : 10,763.24 = 2,555.26 : x
  2. Step 2: Convert to fraction form
    7,175.50/10,763.24 = 2,555.26/x
  3. Step 3: Cross multiply
    7,175.50x = 10,763.24 × 2,555.26
  4. Step 4: Simplify right side
    7,175.50x = 27,502,876.64
  5. Step 5: Solve for x
    x = 27,502,876.64/7,175.50
  6. Step 6: Final answer
    x = 3,832.89

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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.