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Finding the Fourth Proportional to 11,433.96, 17,139.18 and 5,198.31

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Solution

The fourth proportional to 11,433.96, 17,139.18 and 5,198.31 is: 7,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.96 : 17,139.18 = 5,198.31 : x
  2. Step 2: Convert to fraction form
    11,433.96/17,139.18 = 5,198.31/x
  3. Step 3: Cross multiply
    11,433.96x = 17,139.18 × 5,198.31
  4. Step 4: Simplify right side
    11,433.96x = 89,094,770.79
  5. Step 5: Solve for x
    x = 89,094,770.79/11,433.96
  6. Step 6: Final answer
    x = 7,792.12

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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.