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Finding the Fourth Proportional to 7,704.60, 11,532.60 and 6,052.20

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Solution

The fourth proportional to 7,704.60, 11,532.60 and 6,052.20 is: 9,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.60 : 11,532.60 = 6,052.20 : x
  2. Step 2: Convert to fraction form
    7,704.60/11,532.60 = 6,052.20/x
  3. Step 3: Cross multiply
    7,704.60x = 11,532.60 × 6,052.20
  4. Step 4: Simplify right side
    7,704.60x = 69,797,601.72
  5. Step 5: Solve for x
    x = 69,797,601.72/7,704.60
  6. Step 6: Final answer
    x = 9,059.21

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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.