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Finding the Fourth Proportional to 11,182.94, 16,774.97 and 2,863.02

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Solution

The fourth proportional to 11,182.94, 16,774.97 and 2,863.02 is: 4,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.94 : 16,774.97 = 2,863.02 : x
  2. Step 2: Convert to fraction form
    11,182.94/16,774.97 = 2,863.02/x
  3. Step 3: Cross multiply
    11,182.94x = 16,774.97 × 2,863.02
  4. Step 4: Simplify right side
    11,182.94x = 48,027,074.61
  5. Step 5: Solve for x
    x = 48,027,074.61/11,182.94
  6. Step 6: Final answer
    x = 4,294.67

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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.