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Finding the Fourth Proportional to 11,971.45, 17,957.22 and 4,178.44

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Solution

The fourth proportional to 11,971.45, 17,957.22 and 4,178.44 is: 6,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.45 : 17,957.22 = 4,178.44 : x
  2. Step 2: Convert to fraction form
    11,971.45/17,957.22 = 4,178.44/x
  3. Step 3: Cross multiply
    11,971.45x = 17,957.22 × 4,178.44
  4. Step 4: Simplify right side
    11,971.45x = 75,033,166.34
  5. Step 5: Solve for x
    x = 75,033,166.34/11,971.45
  6. Step 6: Final answer
    x = 6,267.68

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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.