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Finding the Fourth Proportional to 27,175.10, 40,760.82 and 7,452

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Solution

The fourth proportional to 27,175.10, 40,760.82 and 7,452 is: 11,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.10 : 40,760.82 = 7,452 : x
  2. Step 2: Convert to fraction form
    27,175.10/40,760.82 = 7,452/x
  3. Step 3: Cross multiply
    27,175.10x = 40,760.82 × 7,452
  4. Step 4: Simplify right side
    27,175.10x = 303,749,630.64
  5. Step 5: Solve for x
    x = 303,749,630.64/27,175.10
  6. Step 6: Final answer
    x = 11,177.50

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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.