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Finding the Fourth Proportional to 7,334.96, 10,122.32 and 3,977.78

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Solution

The fourth proportional to 7,334.96, 10,122.32 and 3,977.78 is: 5,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.96 : 10,122.32 = 3,977.78 : x
  2. Step 2: Convert to fraction form
    7,334.96/10,122.32 = 3,977.78/x
  3. Step 3: Cross multiply
    7,334.96x = 10,122.32 × 3,977.78
  4. Step 4: Simplify right side
    7,334.96x = 40,264,362.05
  5. Step 5: Solve for x
    x = 40,264,362.05/7,334.96
  6. Step 6: Final answer
    x = 5,489.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.