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Finding the Fourth Proportional to 11,648.28, 17,464.92 and 8,486.88

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Solution

The fourth proportional to 11,648.28, 17,464.92 and 8,486.88 is: 12,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.28 : 17,464.92 = 8,486.88 : x
  2. Step 2: Convert to fraction form
    11,648.28/17,464.92 = 8,486.88/x
  3. Step 3: Cross multiply
    11,648.28x = 17,464.92 × 8,486.88
  4. Step 4: Simplify right side
    11,648.28x = 148,222,680.25
  5. Step 5: Solve for x
    x = 148,222,680.25/11,648.28
  6. Step 6: Final answer
    x = 12,724.86

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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.