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Finding the Fourth Proportional to 8,540.88, 12,811.98 and 3,278.42

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Solution

The fourth proportional to 8,540.88, 12,811.98 and 3,278.42 is: 4,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.88 : 12,811.98 = 3,278.42 : x
  2. Step 2: Convert to fraction form
    8,540.88/12,811.98 = 3,278.42/x
  3. Step 3: Cross multiply
    8,540.88x = 12,811.98 × 3,278.42
  4. Step 4: Simplify right side
    8,540.88x = 42,003,051.47
  5. Step 5: Solve for x
    x = 42,003,051.47/8,540.88
  6. Step 6: Final answer
    x = 4,917.88

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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.