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Finding the Fourth Proportional to 8,523.36, 11,761.84 and 5,168.16

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Solution

The fourth proportional to 8,523.36, 11,761.84 and 5,168.16 is: 7,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.36 : 11,761.84 = 5,168.16 : x
  2. Step 2: Convert to fraction form
    8,523.36/11,761.84 = 5,168.16/x
  3. Step 3: Cross multiply
    8,523.36x = 11,761.84 × 5,168.16
  4. Step 4: Simplify right side
    8,523.36x = 60,787,071.01
  5. Step 5: Solve for x
    x = 60,787,071.01/8,523.36
  6. Step 6: Final answer
    x = 7,131.82

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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.