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Finding the Fourth Proportional to 11,474.22, 15,834.12 and 6,438.02

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Solution

The fourth proportional to 11,474.22, 15,834.12 and 6,438.02 is: 8,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.22 : 15,834.12 = 6,438.02 : x
  2. Step 2: Convert to fraction form
    11,474.22/15,834.12 = 6,438.02/x
  3. Step 3: Cross multiply
    11,474.22x = 15,834.12 × 6,438.02
  4. Step 4: Simplify right side
    11,474.22x = 101,940,381.24
  5. Step 5: Solve for x
    x = 101,940,381.24/11,474.22
  6. Step 6: Final answer
    x = 8,884.30

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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.