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Finding the Fourth Proportional to 11,311.26, 15,609.16 and 6,834.22

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Solution

The fourth proportional to 11,311.26, 15,609.16 and 6,834.22 is: 9,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.26 : 15,609.16 = 6,834.22 : x
  2. Step 2: Convert to fraction form
    11,311.26/15,609.16 = 6,834.22/x
  3. Step 3: Cross multiply
    11,311.26x = 15,609.16 × 6,834.22
  4. Step 4: Simplify right side
    11,311.26x = 106,676,399.28
  5. Step 5: Solve for x
    x = 106,676,399.28/11,311.26
  6. Step 6: Final answer
    x = 9,431.00

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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.