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Finding the Fourth Proportional to 27,615.30, 41,422.95 and 7,893.87

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Solution

The fourth proportional to 27,615.30, 41,422.95 and 7,893.87 is: 11,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.30 : 41,422.95 = 7,893.87 : x
  2. Step 2: Convert to fraction form
    27,615.30/41,422.95 = 7,893.87/x
  3. Step 3: Cross multiply
    27,615.30x = 41,422.95 × 7,893.87
  4. Step 4: Simplify right side
    27,615.30x = 326,987,382.32
  5. Step 5: Solve for x
    x = 326,987,382.32/27,615.30
  6. Step 6: Final answer
    x = 11,840.81

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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.