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Finding the Fourth Proportional to 11,433.83, 17,138.84 and 5,874.80

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Solution

The fourth proportional to 11,433.83, 17,138.84 and 5,874.80 is: 8,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.83 : 17,138.84 = 5,874.80 : x
  2. Step 2: Convert to fraction form
    11,433.83/17,138.84 = 5,874.80/x
  3. Step 3: Cross multiply
    11,433.83x = 17,138.84 × 5,874.80
  4. Step 4: Simplify right side
    11,433.83x = 100,687,142.16
  5. Step 5: Solve for x
    x = 100,687,142.16/11,433.83
  6. Step 6: Final answer
    x = 8,806.08

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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.