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Finding the Fourth Proportional to 11,792.32, 16,273.38 and 6,487.24

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Solution

The fourth proportional to 11,792.32, 16,273.38 and 6,487.24 is: 8,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.32 : 16,273.38 = 6,487.24 : x
  2. Step 2: Convert to fraction form
    11,792.32/16,273.38 = 6,487.24/x
  3. Step 3: Cross multiply
    11,792.32x = 16,273.38 × 6,487.24
  4. Step 4: Simplify right side
    11,792.32x = 105,569,321.67
  5. Step 5: Solve for x
    x = 105,569,321.67/11,792.32
  6. Step 6: Final answer
    x = 8,952.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.