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Finding the Fourth Proportional to 8,540.96, 12,810.98 and 3,278.49

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Solution

The fourth proportional to 8,540.96, 12,810.98 and 3,278.49 is: 4,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.96 : 12,810.98 = 3,278.49 : x
  2. Step 2: Convert to fraction form
    8,540.96/12,810.98 = 3,278.49/x
  3. Step 3: Cross multiply
    8,540.96x = 12,810.98 × 3,278.49
  4. Step 4: Simplify right side
    8,540.96x = 42,000,653.43
  5. Step 5: Solve for x
    x = 42,000,653.43/8,540.96
  6. Step 6: Final answer
    x = 4,917.56

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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.