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Finding the Fourth Proportional to 7,167.90, 10,750.05 and 2,549.82

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Solution

The fourth proportional to 7,167.90, 10,750.05 and 2,549.82 is: 3,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.90 : 10,750.05 = 2,549.82 : x
  2. Step 2: Convert to fraction form
    7,167.90/10,750.05 = 2,549.82/x
  3. Step 3: Cross multiply
    7,167.90x = 10,750.05 × 2,549.82
  4. Step 4: Simplify right side
    7,167.90x = 27,410,692.49
  5. Step 5: Solve for x
    x = 27,410,692.49/7,167.90
  6. Step 6: Final answer
    x = 3,824.09

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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.