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Finding the Fourth Proportional to 11,175.20, 16,768.24 and 7,881.20

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Solution

The fourth proportional to 11,175.20, 16,768.24 and 7,881.20 is: 11,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.20 : 16,768.24 = 7,881.20 : x
  2. Step 2: Convert to fraction form
    11,175.20/16,768.24 = 7,881.20/x
  3. Step 3: Cross multiply
    11,175.20x = 16,768.24 × 7,881.20
  4. Step 4: Simplify right side
    11,175.20x = 132,153,853.09
  5. Step 5: Solve for x
    x = 132,153,853.09/11,175.20
  6. Step 6: Final answer
    x = 11,825.64

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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.