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Finding the Fourth Proportional to 11,777.94, 16,236.45 and 8,230.14

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Solution

The fourth proportional to 11,777.94, 16,236.45 and 8,230.14 is: 11,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.94 : 16,236.45 = 8,230.14 : x
  2. Step 2: Convert to fraction form
    11,777.94/16,236.45 = 8,230.14/x
  3. Step 3: Cross multiply
    11,777.94x = 16,236.45 × 8,230.14
  4. Step 4: Simplify right side
    11,777.94x = 133,628,256.60
  5. Step 5: Solve for x
    x = 133,628,256.60/11,777.94
  6. Step 6: Final answer
    x = 11,345.64

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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.