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Finding the Fourth Proportional to 11,685.34, 17,530.68 and 3,365.42

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Solution

The fourth proportional to 11,685.34, 17,530.68 and 3,365.42 is: 5,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.34 : 17,530.68 = 3,365.42 : x
  2. Step 2: Convert to fraction form
    11,685.34/17,530.68 = 3,365.42/x
  3. Step 3: Cross multiply
    11,685.34x = 17,530.68 × 3,365.42
  4. Step 4: Simplify right side
    11,685.34x = 58,998,101.09
  5. Step 5: Solve for x
    x = 58,998,101.09/11,685.34
  6. Step 6: Final answer
    x = 5,048.90

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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.