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Finding the Fourth Proportional to 8,635.24, 12,949.62 and 4,015

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Solution

The fourth proportional to 8,635.24, 12,949.62 and 4,015 is: 6,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.24 : 12,949.62 = 4,015 : x
  2. Step 2: Convert to fraction form
    8,635.24/12,949.62 = 4,015/x
  3. Step 3: Cross multiply
    8,635.24x = 12,949.62 × 4,015
  4. Step 4: Simplify right side
    8,635.24x = 51,992,724.30
  5. Step 5: Solve for x
    x = 51,992,724.30/8,635.24
  6. Step 6: Final answer
    x = 6,020.99

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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.