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Finding the Fourth Proportional to 11,909.71, 17,851.96 and 4,004.70

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Solution

The fourth proportional to 11,909.71, 17,851.96 and 4,004.70 is: 6,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.71 : 17,851.96 = 4,004.70 : x
  2. Step 2: Convert to fraction form
    11,909.71/17,851.96 = 4,004.70/x
  3. Step 3: Cross multiply
    11,909.71x = 17,851.96 × 4,004.70
  4. Step 4: Simplify right side
    11,909.71x = 71,491,744.21
  5. Step 5: Solve for x
    x = 71,491,744.21/11,909.71
  6. Step 6: Final answer
    x = 6,002.81

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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.