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Finding the Fourth Proportional to 11,792.60, 17,683.32 and 6,863.64

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Solution

The fourth proportional to 11,792.60, 17,683.32 and 6,863.64 is: 10,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.60 : 17,683.32 = 6,863.64 : x
  2. Step 2: Convert to fraction form
    11,792.60/17,683.32 = 6,863.64/x
  3. Step 3: Cross multiply
    11,792.60x = 17,683.32 × 6,863.64
  4. Step 4: Simplify right side
    11,792.60x = 121,371,942.48
  5. Step 5: Solve for x
    x = 121,371,942.48/11,792.60
  6. Step 6: Final answer
    x = 10,292.21

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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.