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Finding the Fourth Proportional to 11,964, 17,946.72 and 3,756

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Solution

The fourth proportional to 11,964, 17,946.72 and 3,756 is: 5,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 17,946.72 = 3,756 : x
  2. Step 2: Convert to fraction form
    11,964/17,946.72 = 3,756/x
  3. Step 3: Cross multiply
    11,964x = 17,946.72 × 3,756
  4. Step 4: Simplify right side
    11,964x = 67,407,880.32
  5. Step 5: Solve for x
    x = 67,407,880.32/11,964
  6. Step 6: Final answer
    x = 5,634.23

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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.