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Finding the Fourth Proportional to 11,565.38, 17,351.21 and 3,774.20

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Solution

The fourth proportional to 11,565.38, 17,351.21 and 3,774.20 is: 5,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.38 : 17,351.21 = 3,774.20 : x
  2. Step 2: Convert to fraction form
    11,565.38/17,351.21 = 3,774.20/x
  3. Step 3: Cross multiply
    11,565.38x = 17,351.21 × 3,774.20
  4. Step 4: Simplify right side
    11,565.38x = 65,486,859.46
  5. Step 5: Solve for x
    x = 65,486,859.46/11,565.38
  6. Step 6: Final answer
    x = 5,662.32

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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.