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Finding the Fourth Proportional to 11,817.60, 17,732.80 and 5,244.80

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Solution

The fourth proportional to 11,817.60, 17,732.80 and 5,244.80 is: 7,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.60 : 17,732.80 = 5,244.80 : x
  2. Step 2: Convert to fraction form
    11,817.60/17,732.80 = 5,244.80/x
  3. Step 3: Cross multiply
    11,817.60x = 17,732.80 × 5,244.80
  4. Step 4: Simplify right side
    11,817.60x = 93,004,989.44
  5. Step 5: Solve for x
    x = 93,004,989.44/11,817.60
  6. Step 6: Final answer
    x = 7,870.04

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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.