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Finding the Fourth Proportional to 8,546.24, 11,792.41 and 5,709.06

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Solution

The fourth proportional to 8,546.24, 11,792.41 and 5,709.06 is: 7,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.24 : 11,792.41 = 5,709.06 : x
  2. Step 2: Convert to fraction form
    8,546.24/11,792.41 = 5,709.06/x
  3. Step 3: Cross multiply
    8,546.24x = 11,792.41 × 5,709.06
  4. Step 4: Simplify right side
    8,546.24x = 67,323,561.96
  5. Step 5: Solve for x
    x = 67,323,561.96/8,546.24
  6. Step 6: Final answer
    x = 7,877.56

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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.