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Finding the Fourth Proportional to 12,357.50, 18,537.04 and 4,960.98

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Solution

The fourth proportional to 12,357.50, 18,537.04 and 4,960.98 is: 7,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.50 : 18,537.04 = 4,960.98 : x
  2. Step 2: Convert to fraction form
    12,357.50/18,537.04 = 4,960.98/x
  3. Step 3: Cross multiply
    12,357.50x = 18,537.04 × 4,960.98
  4. Step 4: Simplify right side
    12,357.50x = 91,961,884.70
  5. Step 5: Solve for x
    x = 91,961,884.70/12,357.50
  6. Step 6: Final answer
    x = 7,441.79

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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.