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Finding the Fourth Proportional to 27,181.97, 40,766.64 and 7,462.11

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Solution

The fourth proportional to 27,181.97, 40,766.64 and 7,462.11 is: 11,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.97 : 40,766.64 = 7,462.11 : x
  2. Step 2: Convert to fraction form
    27,181.97/40,766.64 = 7,462.11/x
  3. Step 3: Cross multiply
    27,181.97x = 40,766.64 × 7,462.11
  4. Step 4: Simplify right side
    27,181.97x = 304,205,152.01
  5. Step 5: Solve for x
    x = 304,205,152.01/27,181.97
  6. Step 6: Final answer
    x = 11,191.43

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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.