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Finding the Fourth Proportional to 11,964.50, 17,951.08 and 3,756.50

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Solution

The fourth proportional to 11,964.50, 17,951.08 and 3,756.50 is: 5,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.50 : 17,951.08 = 3,756.50 : x
  2. Step 2: Convert to fraction form
    11,964.50/17,951.08 = 3,756.50/x
  3. Step 3: Cross multiply
    11,964.50x = 17,951.08 × 3,756.50
  4. Step 4: Simplify right side
    11,964.50x = 67,433,232.02
  5. Step 5: Solve for x
    x = 67,433,232.02/11,964.50
  6. Step 6: Final answer
    x = 5,636.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.