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Finding the Fourth Proportional to 11,175.12, 15,422.49 and 7,391.75

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Solution

The fourth proportional to 11,175.12, 15,422.49 and 7,391.75 is: 10,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.12 : 15,422.49 = 7,391.75 : x
  2. Step 2: Convert to fraction form
    11,175.12/15,422.49 = 7,391.75/x
  3. Step 3: Cross multiply
    11,175.12x = 15,422.49 × 7,391.75
  4. Step 4: Simplify right side
    11,175.12x = 113,999,113.35
  5. Step 5: Solve for x
    x = 113,999,113.35/11,175.12
  6. Step 6: Final answer
    x = 10,201.15

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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.