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Finding the Fourth Proportional to 11,452.57, 15,796.36 and 7,419.37

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Solution

The fourth proportional to 11,452.57, 15,796.36 and 7,419.37 is: 10,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.57 : 15,796.36 = 7,419.37 : x
  2. Step 2: Convert to fraction form
    11,452.57/15,796.36 = 7,419.37/x
  3. Step 3: Cross multiply
    11,452.57x = 15,796.36 × 7,419.37
  4. Step 4: Simplify right side
    11,452.57x = 117,199,039.49
  5. Step 5: Solve for x
    x = 117,199,039.49/11,452.57
  6. Step 6: Final answer
    x = 10,233.43

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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.