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Finding the Fourth Proportional to 11,771.49, 17,657.21 and 3,006.41

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Solution

The fourth proportional to 11,771.49, 17,657.21 and 3,006.41 is: 4,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.49 : 17,657.21 = 3,006.41 : x
  2. Step 2: Convert to fraction form
    11,771.49/17,657.21 = 3,006.41/x
  3. Step 3: Cross multiply
    11,771.49x = 17,657.21 × 3,006.41
  4. Step 4: Simplify right side
    11,771.49x = 53,084,709.40
  5. Step 5: Solve for x
    x = 53,084,709.40/11,771.49
  6. Step 6: Final answer
    x = 4,509.60

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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.