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Finding the Fourth Proportional to 11,452.41, 17,184.20 and 5,605.83

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Solution

The fourth proportional to 11,452.41, 17,184.20 and 5,605.83 is: 8,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.41 : 17,184.20 = 5,605.83 : x
  2. Step 2: Convert to fraction form
    11,452.41/17,184.20 = 5,605.83/x
  3. Step 3: Cross multiply
    11,452.41x = 17,184.20 × 5,605.83
  4. Step 4: Simplify right side
    11,452.41x = 96,331,675.86
  5. Step 5: Solve for x
    x = 96,331,675.86/11,452.41
  6. Step 6: Final answer
    x = 8,411.48

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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.