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Finding the Fourth Proportional to 11,195.82, 15,452.37 and 7,412.31

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Solution

The fourth proportional to 11,195.82, 15,452.37 and 7,412.31 is: 10,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.82 : 15,452.37 = 7,412.31 : x
  2. Step 2: Convert to fraction form
    11,195.82/15,452.37 = 7,412.31/x
  3. Step 3: Cross multiply
    11,195.82x = 15,452.37 × 7,412.31
  4. Step 4: Simplify right side
    11,195.82x = 114,537,756.67
  5. Step 5: Solve for x
    x = 114,537,756.67/11,195.82
  6. Step 6: Final answer
    x = 10,230.40

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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.