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Finding the Fourth Proportional to 27,714.48, 41,571.60 and 6,937.92

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Solution

The fourth proportional to 27,714.48, 41,571.60 and 6,937.92 is: 10,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.48 : 41,571.60 = 6,937.92 : x
  2. Step 2: Convert to fraction form
    27,714.48/41,571.60 = 6,937.92/x
  3. Step 3: Cross multiply
    27,714.48x = 41,571.60 × 6,937.92
  4. Step 4: Simplify right side
    27,714.48x = 288,420,435.07
  5. Step 5: Solve for x
    x = 288,420,435.07/27,714.48
  6. Step 6: Final answer
    x = 10,406.85

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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.