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Finding the Fourth Proportional to 11,640.06, 16,063.44 and 6,334.92

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Solution

The fourth proportional to 11,640.06, 16,063.44 and 6,334.92 is: 8,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.06 : 16,063.44 = 6,334.92 : x
  2. Step 2: Convert to fraction form
    11,640.06/16,063.44 = 6,334.92/x
  3. Step 3: Cross multiply
    11,640.06x = 16,063.44 × 6,334.92
  4. Step 4: Simplify right side
    11,640.06x = 101,760,607.32
  5. Step 5: Solve for x
    x = 101,760,607.32/11,640.06
  6. Step 6: Final answer
    x = 8,742.28

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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.