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Finding the Fourth Proportional to 11,571.43, 17,358.05 and 4,176.64

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Solution

The fourth proportional to 11,571.43, 17,358.05 and 4,176.64 is: 6,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.43 : 17,358.05 = 4,176.64 : x
  2. Step 2: Convert to fraction form
    11,571.43/17,358.05 = 4,176.64/x
  3. Step 3: Cross multiply
    11,571.43x = 17,358.05 × 4,176.64
  4. Step 4: Simplify right side
    11,571.43x = 72,498,325.95
  5. Step 5: Solve for x
    x = 72,498,325.95/11,571.43
  6. Step 6: Final answer
    x = 6,265.29

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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.