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Finding the Fourth Proportional to 27,909.57, 41,861.05 and 7,920.82

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Solution

The fourth proportional to 27,909.57, 41,861.05 and 7,920.82 is: 11,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909.57 : 41,861.05 = 7,920.82 : x
  2. Step 2: Convert to fraction form
    27,909.57/41,861.05 = 7,920.82/x
  3. Step 3: Cross multiply
    27,909.57x = 41,861.05 × 7,920.82
  4. Step 4: Simplify right side
    27,909.57x = 331,573,842.06
  5. Step 5: Solve for x
    x = 331,573,842.06/27,909.57
  6. Step 6: Final answer
    x = 11,880.29

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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.