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Finding the Fourth Proportional to 11,704.50, 17,558.50 and 4,308.39

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Solution

The fourth proportional to 11,704.50, 17,558.50 and 4,308.39 is: 6,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.50 : 17,558.50 = 4,308.39 : x
  2. Step 2: Convert to fraction form
    11,704.50/17,558.50 = 4,308.39/x
  3. Step 3: Cross multiply
    11,704.50x = 17,558.50 × 4,308.39
  4. Step 4: Simplify right side
    11,704.50x = 75,648,851.00
  5. Step 5: Solve for x
    x = 75,648,851.00/11,704.50
  6. Step 6: Final answer
    x = 6,463.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.