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Finding the Fourth Proportional to 27,852.72, 41,781.58 and 7,862.42

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Solution

The fourth proportional to 27,852.72, 41,781.58 and 7,862.42 is: 11,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.72 : 41,781.58 = 7,862.42 : x
  2. Step 2: Convert to fraction form
    27,852.72/41,781.58 = 7,862.42/x
  3. Step 3: Cross multiply
    27,852.72x = 41,781.58 × 7,862.42
  4. Step 4: Simplify right side
    27,852.72x = 328,504,415.02
  5. Step 5: Solve for x
    x = 328,504,415.02/27,852.72
  6. Step 6: Final answer
    x = 11,794.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.