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Finding the Fourth Proportional to 27,811.52, 41,712.96 and 8,086

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Solution

The fourth proportional to 27,811.52, 41,712.96 and 8,086 is: 12,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.52 : 41,712.96 = 8,086 : x
  2. Step 2: Convert to fraction form
    27,811.52/41,712.96 = 8,086/x
  3. Step 3: Cross multiply
    27,811.52x = 41,712.96 × 8,086
  4. Step 4: Simplify right side
    27,811.52x = 337,290,994.56
  5. Step 5: Solve for x
    x = 337,290,994.56/27,811.52
  6. Step 6: Final answer
    x = 12,127.74

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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.