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Finding the Fourth Proportional to 10,801.29, 14,912.57 and 8,278.64

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Solution

The fourth proportional to 10,801.29, 14,912.57 and 8,278.64 is: 11,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.29 : 14,912.57 = 8,278.64 : x
  2. Step 2: Convert to fraction form
    10,801.29/14,912.57 = 8,278.64/x
  3. Step 3: Cross multiply
    10,801.29x = 14,912.57 × 8,278.64
  4. Step 4: Simplify right side
    10,801.29x = 123,455,825.44
  5. Step 5: Solve for x
    x = 123,455,825.44/10,801.29
  6. Step 6: Final answer
    x = 11,429.73

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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.