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Finding the Fourth Proportional to 11,285.68, 16,939.44 and 5,446.40

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Solution

The fourth proportional to 11,285.68, 16,939.44 and 5,446.40 is: 8,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.68 : 16,939.44 = 5,446.40 : x
  2. Step 2: Convert to fraction form
    11,285.68/16,939.44 = 5,446.40/x
  3. Step 3: Cross multiply
    11,285.68x = 16,939.44 × 5,446.40
  4. Step 4: Simplify right side
    11,285.68x = 92,258,966.02
  5. Step 5: Solve for x
    x = 92,258,966.02/11,285.68
  6. Step 6: Final answer
    x = 8,174.87

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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.