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Finding the Fourth Proportional to 27,795.04, 41,692.82 and 7,018.52

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Solution

The fourth proportional to 27,795.04, 41,692.82 and 7,018.52 is: 10,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795.04 : 41,692.82 = 7,018.52 : x
  2. Step 2: Convert to fraction form
    27,795.04/41,692.82 = 7,018.52/x
  3. Step 3: Cross multiply
    27,795.04x = 41,692.82 × 7,018.52
  4. Step 4: Simplify right side
    27,795.04x = 292,621,891.03
  5. Step 5: Solve for x
    x = 292,621,891.03/27,795.04
  6. Step 6: Final answer
    x = 10,527.85

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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.