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Finding the Fourth Proportional to 11,396.48, 17,084.54 and 6,134.30

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Solution

The fourth proportional to 11,396.48, 17,084.54 and 6,134.30 is: 9,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.48 : 17,084.54 = 6,134.30 : x
  2. Step 2: Convert to fraction form
    11,396.48/17,084.54 = 6,134.30/x
  3. Step 3: Cross multiply
    11,396.48x = 17,084.54 × 6,134.30
  4. Step 4: Simplify right side
    11,396.48x = 104,801,693.72
  5. Step 5: Solve for x
    x = 104,801,693.72/11,396.48
  6. Step 6: Final answer
    x = 9,195.97

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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.