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Finding the Fourth Proportional to 27,578.10, 41,354.90 and 7,852.18

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Solution

The fourth proportional to 27,578.10, 41,354.90 and 7,852.18 is: 11,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.10 : 41,354.90 = 7,852.18 : x
  2. Step 2: Convert to fraction form
    27,578.10/41,354.90 = 7,852.18/x
  3. Step 3: Cross multiply
    27,578.10x = 41,354.90 × 7,852.18
  4. Step 4: Simplify right side
    27,578.10x = 324,726,118.68
  5. Step 5: Solve for x
    x = 324,726,118.68/27,578.10
  6. Step 6: Final answer
    x = 11,774.78

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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.