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Finding the Fourth Proportional to 8,226.78, 12,341.45 and 2,678.82

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Solution

The fourth proportional to 8,226.78, 12,341.45 and 2,678.82 is: 4,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.78 : 12,341.45 = 2,678.82 : x
  2. Step 2: Convert to fraction form
    8,226.78/12,341.45 = 2,678.82/x
  3. Step 3: Cross multiply
    8,226.78x = 12,341.45 × 2,678.82
  4. Step 4: Simplify right side
    8,226.78x = 33,060,523.09
  5. Step 5: Solve for x
    x = 33,060,523.09/8,226.78
  6. Step 6: Final answer
    x = 4,018.65

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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.