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Finding the Fourth Proportional to 7,975.50, 11,965.18 and 2,503.50

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Solution

The fourth proportional to 7,975.50, 11,965.18 and 2,503.50 is: 3,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.50 : 11,965.18 = 2,503.50 : x
  2. Step 2: Convert to fraction form
    7,975.50/11,965.18 = 2,503.50/x
  3. Step 3: Cross multiply
    7,975.50x = 11,965.18 × 2,503.50
  4. Step 4: Simplify right side
    7,975.50x = 29,954,828.13
  5. Step 5: Solve for x
    x = 29,954,828.13/7,975.50
  6. Step 6: Final answer
    x = 3,755.86

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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.