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Finding the Fourth Proportional to 11,406.38, 17,120.33 and 5,863.61

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Solution

The fourth proportional to 11,406.38, 17,120.33 and 5,863.61 is: 8,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.38 : 17,120.33 = 5,863.61 : x
  2. Step 2: Convert to fraction form
    11,406.38/17,120.33 = 5,863.61/x
  3. Step 3: Cross multiply
    11,406.38x = 17,120.33 × 5,863.61
  4. Step 4: Simplify right side
    11,406.38x = 100,386,938.19
  5. Step 5: Solve for x
    x = 100,386,938.19/11,406.38
  6. Step 6: Final answer
    x = 8,800.95

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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.