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Finding the Fourth Proportional to 11,713.36, 17,564.37 and 4,321.30

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Solution

The fourth proportional to 11,713.36, 17,564.37 and 4,321.30 is: 6,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.36 : 17,564.37 = 4,321.30 : x
  2. Step 2: Convert to fraction form
    11,713.36/17,564.37 = 4,321.30/x
  3. Step 3: Cross multiply
    11,713.36x = 17,564.37 × 4,321.30
  4. Step 4: Simplify right side
    11,713.36x = 75,900,912.08
  5. Step 5: Solve for x
    x = 75,900,912.08/11,713.36
  6. Step 6: Final answer
    x = 6,479.86

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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.