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Finding the Fourth Proportional to 11,704.71, 17,548.86 and 4,308.20

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Solution

The fourth proportional to 11,704.71, 17,548.86 and 4,308.20 is: 6,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.71 : 17,548.86 = 4,308.20 : x
  2. Step 2: Convert to fraction form
    11,704.71/17,548.86 = 4,308.20/x
  3. Step 3: Cross multiply
    11,704.71x = 17,548.86 × 4,308.20
  4. Step 4: Simplify right side
    11,704.71x = 75,603,998.65
  5. Step 5: Solve for x
    x = 75,603,998.65/11,704.71
  6. Step 6: Final answer
    x = 6,459.28

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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.