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Finding the Fourth Proportional to 11,792.14, 16,273.16 and 6,487.04

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Solution

The fourth proportional to 11,792.14, 16,273.16 and 6,487.04 is: 8,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.14 : 16,273.16 = 6,487.04 : x
  2. Step 2: Convert to fraction form
    11,792.14/16,273.16 = 6,487.04/x
  3. Step 3: Cross multiply
    11,792.14x = 16,273.16 × 6,487.04
  4. Step 4: Simplify right side
    11,792.14x = 105,564,639.85
  5. Step 5: Solve for x
    x = 105,564,639.85/11,792.14
  6. Step 6: Final answer
    x = 8,952.12

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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.