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Finding the Fourth Proportional to 11,773.58, 16,247.64 and 6,468.49

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Solution

The fourth proportional to 11,773.58, 16,247.64 and 6,468.49 is: 8,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.58 : 16,247.64 = 6,468.49 : x
  2. Step 2: Convert to fraction form
    11,773.58/16,247.64 = 6,468.49/x
  3. Step 3: Cross multiply
    11,773.58x = 16,247.64 × 6,468.49
  4. Step 4: Simplify right side
    11,773.58x = 105,097,583.28
  5. Step 5: Solve for x
    x = 105,097,583.28/11,773.58
  6. Step 6: Final answer
    x = 8,926.56

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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.