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Finding the Fourth Proportional to 8,278.74, 12,418.92 and 2,729.82

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Solution

The fourth proportional to 8,278.74, 12,418.92 and 2,729.82 is: 4,095.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.74 : 12,418.92 = 2,729.82 : x
  2. Step 2: Convert to fraction form
    8,278.74/12,418.92 = 2,729.82/x
  3. Step 3: Cross multiply
    8,278.74x = 12,418.92 × 2,729.82
  4. Step 4: Simplify right side
    8,278.74x = 33,901,416.19
  5. Step 5: Solve for x
    x = 33,901,416.19/8,278.74
  6. Step 6: Final answer
    x = 4,095.00

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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.