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Finding the Fourth Proportional to 11,141.46, 16,777.72 and 8,043.20

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Solution

The fourth proportional to 11,141.46, 16,777.72 and 8,043.20 is: 12,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.46 : 16,777.72 = 8,043.20 : x
  2. Step 2: Convert to fraction form
    11,141.46/16,777.72 = 8,043.20/x
  3. Step 3: Cross multiply
    11,141.46x = 16,777.72 × 8,043.20
  4. Step 4: Simplify right side
    11,141.46x = 134,946,557.50
  5. Step 5: Solve for x
    x = 134,946,557.50/11,141.46
  6. Step 6: Final answer
    x = 12,112.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.