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Finding the Fourth Proportional to 7,157.93, 10,738.55 and 2,227.30

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Solution

The fourth proportional to 7,157.93, 10,738.55 and 2,227.30 is: 3,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.93 : 10,738.55 = 2,227.30 : x
  2. Step 2: Convert to fraction form
    7,157.93/10,738.55 = 2,227.30/x
  3. Step 3: Cross multiply
    7,157.93x = 10,738.55 × 2,227.30
  4. Step 4: Simplify right side
    7,157.93x = 23,917,907.59
  5. Step 5: Solve for x
    x = 23,917,907.59/7,157.93
  6. Step 6: Final answer
    x = 3,341.46

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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.