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Finding the Fourth Proportional to 7,377.25, 11,073.17 and 3,914.50

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Solution

The fourth proportional to 7,377.25, 11,073.17 and 3,914.50 is: 5,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.25 : 11,073.17 = 3,914.50 : x
  2. Step 2: Convert to fraction form
    7,377.25/11,073.17 = 3,914.50/x
  3. Step 3: Cross multiply
    7,377.25x = 11,073.17 × 3,914.50
  4. Step 4: Simplify right side
    7,377.25x = 43,345,923.97
  5. Step 5: Solve for x
    x = 43,345,923.97/7,377.25
  6. Step 6: Final answer
    x = 5,875.62

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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.