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Finding the Fourth Proportional to 11,572.82, 17,360.12 and 3,782.42

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Solution

The fourth proportional to 11,572.82, 17,360.12 and 3,782.42 is: 5,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.82 : 17,360.12 = 3,782.42 : x
  2. Step 2: Convert to fraction form
    11,572.82/17,360.12 = 3,782.42/x
  3. Step 3: Cross multiply
    11,572.82x = 17,360.12 × 3,782.42
  4. Step 4: Simplify right side
    11,572.82x = 65,663,187.75
  5. Step 5: Solve for x
    x = 65,663,187.75/11,572.82
  6. Step 6: Final answer
    x = 5,673.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.