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Finding the Fourth Proportional to 6,546.60, 9,832.50 and 5,611.68

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Solution

The fourth proportional to 6,546.60, 9,832.50 and 5,611.68 is: 8,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.60 : 9,832.50 = 5,611.68 : x
  2. Step 2: Convert to fraction form
    6,546.60/9,832.50 = 5,611.68/x
  3. Step 3: Cross multiply
    6,546.60x = 9,832.50 × 5,611.68
  4. Step 4: Simplify right side
    6,546.60x = 55,176,843.60
  5. Step 5: Solve for x
    x = 55,176,843.60/6,546.60
  6. Step 6: Final answer
    x = 8,428.32

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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.