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Finding the Fourth Proportional to 8,278.32, 12,418.23 and 2,731.68

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Solution

The fourth proportional to 8,278.32, 12,418.23 and 2,731.68 is: 4,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.32 : 12,418.23 = 2,731.68 : x
  2. Step 2: Convert to fraction form
    8,278.32/12,418.23 = 2,731.68/x
  3. Step 3: Cross multiply
    8,278.32x = 12,418.23 × 2,731.68
  4. Step 4: Simplify right side
    8,278.32x = 33,922,630.53
  5. Step 5: Solve for x
    x = 33,922,630.53/8,278.32
  6. Step 6: Final answer
    x = 4,097.77

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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.