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Finding the Fourth Proportional to 7,334.74, 10,121.86 and 3,977.49

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Solution

The fourth proportional to 7,334.74, 10,121.86 and 3,977.49 is: 5,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.74 : 10,121.86 = 3,977.49 : x
  2. Step 2: Convert to fraction form
    7,334.74/10,121.86 = 3,977.49/x
  3. Step 3: Cross multiply
    7,334.74x = 10,121.86 × 3,977.49
  4. Step 4: Simplify right side
    7,334.74x = 40,259,596.93
  5. Step 5: Solve for x
    x = 40,259,596.93/7,334.74
  6. Step 6: Final answer
    x = 5,488.89

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