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Finding the Fourth Proportional to 8,546.33, 11,792.51 and 5,709.15

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Solution

The fourth proportional to 8,546.33, 11,792.51 and 5,709.15 is: 7,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.33 : 11,792.51 = 5,709.15 : x
  2. Step 2: Convert to fraction form
    8,546.33/11,792.51 = 5,709.15/x
  3. Step 3: Cross multiply
    8,546.33x = 11,792.51 × 5,709.15
  4. Step 4: Simplify right side
    8,546.33x = 67,325,179.92
  5. Step 5: Solve for x
    x = 67,325,179.92/8,546.33
  6. Step 6: Final answer
    x = 7,877.68

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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.