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Finding the Fourth Proportional to 7,297.25, 10,947.47 and 2,367.39

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Solution

The fourth proportional to 7,297.25, 10,947.47 and 2,367.39 is: 3,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.25 : 10,947.47 = 2,367.39 : x
  2. Step 2: Convert to fraction form
    7,297.25/10,947.47 = 2,367.39/x
  3. Step 3: Cross multiply
    7,297.25x = 10,947.47 × 2,367.39
  4. Step 4: Simplify right side
    7,297.25x = 25,916,936.92
  5. Step 5: Solve for x
    x = 25,916,936.92/7,297.25
  6. Step 6: Final answer
    x = 3,551.60

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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.