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Finding the Fourth Proportional to 11,644.75, 16,069.76 and 6,339.25

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Solution

The fourth proportional to 11,644.75, 16,069.76 and 6,339.25 is: 8,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.75 : 16,069.76 = 6,339.25 : x
  2. Step 2: Convert to fraction form
    11,644.75/16,069.76 = 6,339.25/x
  3. Step 3: Cross multiply
    11,644.75x = 16,069.76 × 6,339.25
  4. Step 4: Simplify right side
    11,644.75x = 101,870,226.08
  5. Step 5: Solve for x
    x = 101,870,226.08/11,644.75
  6. Step 6: Final answer
    x = 8,748.17

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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.