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Finding the Fourth Proportional to 7,334.41, 10,121.38 and 3,977.16

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Solution

The fourth proportional to 7,334.41, 10,121.38 and 3,977.16 is: 5,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.41 : 10,121.38 = 3,977.16 : x
  2. Step 2: Convert to fraction form
    7,334.41/10,121.38 = 3,977.16/x
  3. Step 3: Cross multiply
    7,334.41x = 10,121.38 × 3,977.16
  4. Step 4: Simplify right side
    7,334.41x = 40,254,347.68
  5. Step 5: Solve for x
    x = 40,254,347.68/7,334.41
  6. Step 6: Final answer
    x = 5,488.42

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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.