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Finding the Fourth Proportional to 11,816, 17,722.08 and 8,342.72

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Solution

The fourth proportional to 11,816, 17,722.08 and 8,342.72 is: 12,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816 : 17,722.08 = 8,342.72 : x
  2. Step 2: Convert to fraction form
    11,816/17,722.08 = 8,342.72/x
  3. Step 3: Cross multiply
    11,816x = 17,722.08 × 8,342.72
  4. Step 4: Simplify right side
    11,816x = 147,850,351.26
  5. Step 5: Solve for x
    x = 147,850,351.26/11,816
  6. Step 6: Final answer
    x = 12,512.72

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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.