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Finding the Fourth Proportional to 11,397.60, 17,096.40 and 3,189.60

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Solution

The fourth proportional to 11,397.60, 17,096.40 and 3,189.60 is: 4,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.60 : 17,096.40 = 3,189.60 : x
  2. Step 2: Convert to fraction form
    11,397.60/17,096.40 = 3,189.60/x
  3. Step 3: Cross multiply
    11,397.60x = 17,096.40 × 3,189.60
  4. Step 4: Simplify right side
    11,397.60x = 54,530,677.44
  5. Step 5: Solve for x
    x = 54,530,677.44/11,397.60
  6. Step 6: Final answer
    x = 4,784.40

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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.