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Finding the Fourth Proportional to 7,334.64, 10,121.85 and 3,977.50

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Solution

The fourth proportional to 7,334.64, 10,121.85 and 3,977.50 is: 5,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.64 : 10,121.85 = 3,977.50 : x
  2. Step 2: Convert to fraction form
    7,334.64/10,121.85 = 3,977.50/x
  3. Step 3: Cross multiply
    7,334.64x = 10,121.85 × 3,977.50
  4. Step 4: Simplify right side
    7,334.64x = 40,259,658.38
  5. Step 5: Solve for x
    x = 40,259,658.38/7,334.64
  6. Step 6: Final answer
    x = 5,488.98

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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.