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Finding the Fourth Proportional to 11,194.92, 16,790.46 and 2,985

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Solution

The fourth proportional to 11,194.92, 16,790.46 and 2,985 is: 4,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.92 : 16,790.46 = 2,985 : x
  2. Step 2: Convert to fraction form
    11,194.92/16,790.46 = 2,985/x
  3. Step 3: Cross multiply
    11,194.92x = 16,790.46 × 2,985
  4. Step 4: Simplify right side
    11,194.92x = 50,119,523.10
  5. Step 5: Solve for x
    x = 50,119,523.10/11,194.92
  6. Step 6: Final answer
    x = 4,476.99

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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.