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Finding the Fourth Proportional to 11,614.36, 17,419.21 and 5,688.69

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Solution

The fourth proportional to 11,614.36, 17,419.21 and 5,688.69 is: 8,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.36 : 17,419.21 = 5,688.69 : x
  2. Step 2: Convert to fraction form
    11,614.36/17,419.21 = 5,688.69/x
  3. Step 3: Cross multiply
    11,614.36x = 17,419.21 × 5,688.69
  4. Step 4: Simplify right side
    11,614.36x = 99,092,485.73
  5. Step 5: Solve for x
    x = 99,092,485.73/11,614.36
  6. Step 6: Final answer
    x = 8,531.89

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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.