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Finding the Fourth Proportional to 11,773.25, 16,247.09 and 6,468.16

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Solution

The fourth proportional to 11,773.25, 16,247.09 and 6,468.16 is: 8,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.25 : 16,247.09 = 6,468.16 : x
  2. Step 2: Convert to fraction form
    11,773.25/16,247.09 = 6,468.16/x
  3. Step 3: Cross multiply
    11,773.25x = 16,247.09 × 6,468.16
  4. Step 4: Simplify right side
    11,773.25x = 105,088,777.65
  5. Step 5: Solve for x
    x = 105,088,777.65/11,773.25
  6. Step 6: Final answer
    x = 8,926.06

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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.