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Finding the Fourth Proportional to 11,647.94, 16,074.44 and 6,343.04

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Solution

The fourth proportional to 11,647.94, 16,074.44 and 6,343.04 is: 8,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.94 : 16,074.44 = 6,343.04 : x
  2. Step 2: Convert to fraction form
    11,647.94/16,074.44 = 6,343.04/x
  3. Step 3: Cross multiply
    11,647.94x = 16,074.44 × 6,343.04
  4. Step 4: Simplify right side
    11,647.94x = 101,960,815.90
  5. Step 5: Solve for x
    x = 101,960,815.90/11,647.94
  6. Step 6: Final answer
    x = 8,753.55

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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.