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Finding the Fourth Proportional to 7,960.50, 11,940.75 and 4,498.02

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Solution

The fourth proportional to 7,960.50, 11,940.75 and 4,498.02 is: 6,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.50 : 11,940.75 = 4,498.02 : x
  2. Step 2: Convert to fraction form
    7,960.50/11,940.75 = 4,498.02/x
  3. Step 3: Cross multiply
    7,960.50x = 11,940.75 × 4,498.02
  4. Step 4: Simplify right side
    7,960.50x = 53,709,732.32
  5. Step 5: Solve for x
    x = 53,709,732.32/7,960.50
  6. Step 6: Final answer
    x = 6,747.03

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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.