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Finding the Fourth Proportional to 11,032.12, 16,553.58 and 8,123.41

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Solution

The fourth proportional to 11,032.12, 16,553.58 and 8,123.41 is: 12,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.12 : 16,553.58 = 8,123.41 : x
  2. Step 2: Convert to fraction form
    11,032.12/16,553.58 = 8,123.41/x
  3. Step 3: Cross multiply
    11,032.12x = 16,553.58 × 8,123.41
  4. Step 4: Simplify right side
    11,032.12x = 134,471,517.31
  5. Step 5: Solve for x
    x = 134,471,517.31/11,032.12
  6. Step 6: Final answer
    x = 12,189.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.