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Finding the Fourth Proportional to 11,432.92, 17,147.64 and 3,113.44

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Solution

The fourth proportional to 11,432.92, 17,147.64 and 3,113.44 is: 4,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.92 : 17,147.64 = 3,113.44 : x
  2. Step 2: Convert to fraction form
    11,432.92/17,147.64 = 3,113.44/x
  3. Step 3: Cross multiply
    11,432.92x = 17,147.64 × 3,113.44
  4. Step 4: Simplify right side
    11,432.92x = 53,388,148.28
  5. Step 5: Solve for x
    x = 53,388,148.28/11,432.92
  6. Step 6: Final answer
    x = 4,669.69

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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.