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Finding the Fourth Proportional to 27,857.01, 41,780.29 and 7,861.57

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Solution

The fourth proportional to 27,857.01, 41,780.29 and 7,861.57 is: 11,790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.01 : 41,780.29 = 7,861.57 : x
  2. Step 2: Convert to fraction form
    27,857.01/41,780.29 = 7,861.57/x
  3. Step 3: Cross multiply
    27,857.01x = 41,780.29 × 7,861.57
  4. Step 4: Simplify right side
    27,857.01x = 328,458,674.46
  5. Step 5: Solve for x
    x = 328,458,674.46/27,857.01
  6. Step 6: Final answer
    x = 11,790.88

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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.