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Finding the Fourth Proportional to 27,854.24, 41,783.82 and 7,863.90

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Solution

The fourth proportional to 27,854.24, 41,783.82 and 7,863.90 is: 11,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.24 : 41,783.82 = 7,863.90 : x
  2. Step 2: Convert to fraction form
    27,854.24/41,783.82 = 7,863.90/x
  3. Step 3: Cross multiply
    27,854.24x = 41,783.82 × 7,863.90
  4. Step 4: Simplify right side
    27,854.24x = 328,583,782.10
  5. Step 5: Solve for x
    x = 328,583,782.10/27,854.24
  6. Step 6: Final answer
    x = 11,796.54

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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.