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Finding the Fourth Proportional to 11,512.62, 15,881.82 and 6,794.16

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Solution

The fourth proportional to 11,512.62, 15,881.82 and 6,794.16 is: 9,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.62 : 15,881.82 = 6,794.16 : x
  2. Step 2: Convert to fraction form
    11,512.62/15,881.82 = 6,794.16/x
  3. Step 3: Cross multiply
    11,512.62x = 15,881.82 × 6,794.16
  4. Step 4: Simplify right side
    11,512.62x = 107,903,626.17
  5. Step 5: Solve for x
    x = 107,903,626.17/11,512.62
  6. Step 6: Final answer
    x = 9,372.64

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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.