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Finding the Fourth Proportional to 11,175.20, 15,419.62 and 7,593

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Solution

The fourth proportional to 11,175.20, 15,419.62 and 7,593 is: 10,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.20 : 15,419.62 = 7,593 : x
  2. Step 2: Convert to fraction form
    11,175.20/15,419.62 = 7,593/x
  3. Step 3: Cross multiply
    11,175.20x = 15,419.62 × 7,593
  4. Step 4: Simplify right side
    11,175.20x = 117,081,174.66
  5. Step 5: Solve for x
    x = 117,081,174.66/11,175.20
  6. Step 6: Final answer
    x = 10,476.88

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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.