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Finding the Fourth Proportional to 8,196.96, 11,311.84 and 4,471.04

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Solution

The fourth proportional to 8,196.96, 11,311.84 and 4,471.04 is: 6,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.96 : 11,311.84 = 4,471.04 : x
  2. Step 2: Convert to fraction form
    8,196.96/11,311.84 = 4,471.04/x
  3. Step 3: Cross multiply
    8,196.96x = 11,311.84 × 4,471.04
  4. Step 4: Simplify right side
    8,196.96x = 50,575,689.11
  5. Step 5: Solve for x
    x = 50,575,689.11/8,196.96
  6. Step 6: Final answer
    x = 6,170.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.