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Finding the Fourth Proportional to 11,391.60, 17,089.87 and 3,494.14

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Solution

The fourth proportional to 11,391.60, 17,089.87 and 3,494.14 is: 5,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.60 : 17,089.87 = 3,494.14 : x
  2. Step 2: Convert to fraction form
    11,391.60/17,089.87 = 3,494.14/x
  3. Step 3: Cross multiply
    11,391.60x = 17,089.87 × 3,494.14
  4. Step 4: Simplify right side
    11,391.60x = 59,714,398.36
  5. Step 5: Solve for x
    x = 59,714,398.36/11,391.60
  6. Step 6: Final answer
    x = 5,241.97

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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.