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Finding the Fourth Proportional to 8,278.44, 11,426.94 and 5,633.88

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Solution

The fourth proportional to 8,278.44, 11,426.94 and 5,633.88 is: 7,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.44 : 11,426.94 = 5,633.88 : x
  2. Step 2: Convert to fraction form
    8,278.44/11,426.94 = 5,633.88/x
  3. Step 3: Cross multiply
    8,278.44x = 11,426.94 × 5,633.88
  4. Step 4: Simplify right side
    8,278.44x = 64,378,008.73
  5. Step 5: Solve for x
    x = 64,378,008.73/8,278.44
  6. Step 6: Final answer
    x = 7,776.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.