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Finding the Fourth Proportional to 11,708.32, 16,168.26 and 7,523.86

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Solution

The fourth proportional to 11,708.32, 16,168.26 and 7,523.86 is: 10,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.32 : 16,168.26 = 7,523.86 : x
  2. Step 2: Convert to fraction form
    11,708.32/16,168.26 = 7,523.86/x
  3. Step 3: Cross multiply
    11,708.32x = 16,168.26 × 7,523.86
  4. Step 4: Simplify right side
    11,708.32x = 121,647,724.68
  5. Step 5: Solve for x
    x = 121,647,724.68/11,708.32
  6. Step 6: Final answer
    x = 10,389.85

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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.