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Finding the Fourth Proportional to 11,375.82, 15,694.01 and 7,549.26

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Solution

The fourth proportional to 11,375.82, 15,694.01 and 7,549.26 is: 10,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.82 : 15,694.01 = 7,549.26 : x
  2. Step 2: Convert to fraction form
    11,375.82/15,694.01 = 7,549.26/x
  3. Step 3: Cross multiply
    11,375.82x = 15,694.01 × 7,549.26
  4. Step 4: Simplify right side
    11,375.82x = 118,478,181.92
  5. Step 5: Solve for x
    x = 118,478,181.92/11,375.82
  6. Step 6: Final answer
    x = 10,414.91

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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.