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Finding the Fourth Proportional to 11,371.92, 15,693.12 and 6,336.24

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Solution

The fourth proportional to 11,371.92, 15,693.12 and 6,336.24 is: 8,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.92 : 15,693.12 = 6,336.24 : x
  2. Step 2: Convert to fraction form
    11,371.92/15,693.12 = 6,336.24/x
  3. Step 3: Cross multiply
    11,371.92x = 15,693.12 × 6,336.24
  4. Step 4: Simplify right side
    11,371.92x = 99,435,374.67
  5. Step 5: Solve for x
    x = 99,435,374.67/11,371.92
  6. Step 6: Final answer
    x = 8,743.94

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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.