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Finding the Fourth Proportional to 27,873.41, 41,811.53 and 7,884.34

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Solution

The fourth proportional to 27,873.41, 41,811.53 and 7,884.34 is: 11,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.41 : 41,811.53 = 7,884.34 : x
  2. Step 2: Convert to fraction form
    27,873.41/41,811.53 = 7,884.34/x
  3. Step 3: Cross multiply
    27,873.41x = 41,811.53 × 7,884.34
  4. Step 4: Simplify right side
    27,873.41x = 329,656,069.96
  5. Step 5: Solve for x
    x = 329,656,069.96/27,873.41
  6. Step 6: Final answer
    x = 11,826.90

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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.